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EXERCISE 9.1 Page No 155: Question 1: Which of the following figures lie on the same base and between the same parallels. In such a case, write the common base and the two parallels. (i) (ii) (iii) (iv) (v) (vi) Answer: (i) Yes. It can be observed that trapezium ABCD and triangle PCD have a …
EXERCISE 29 C Draw pie charts to represent the following information, working out the angles first. 1.The number of books lent out by a school library each day is shown in the following table. <div style=”overflow: auto;”> <table style=”border-collapse: collapse;” border=”1″> <tr><th>Day</th><td>Monday</td><td>Tuesday</td><td>Wednesday</td><td>Thrusday</td><td>Friday</td></tr> <tr><th>Number of books lent</th><td>10</td><td>25</td><td>33</td><td>16</td><td>6</td></tr> </table> </div> 2.The number of students in a hostel …
EXERCISE 17D 1. In Fig. 1 name the following angles (i) an acute angle at T (ii) an acute angle at Q (iii) three obtuse angles (iv) a right angle (v) a straight angle 2. Classify the angles whose magnitudes are given below (i) 132 (ii) 26 (iii) 170 (iv) 30 (v) 79 (vi) 17.5 …
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EXERCISE 4.2 QUESTION 1 Give first the step you will use to separate the variable and then solve the equation: (a) x+ 1 = 0 Sol : Adding 1 to both sides of the given equation, we obtain x – 1 + 1 = 0 + 1 x = 1 (b) x + 1 …
NCERT solution class 7 chapter 4 simple equations exercise 4.2 mathematics Read More »
\[ [+preamble] \usepackage{polynom} [/preamble] \begin{document} \polylongdiv{x^3-2x^2+4x+7}{x+1} \end{document} \] \[ [+preamble] \usepackage{amsmath} [/preamble] \input{longdiv} \begin{document} \longdiv{100}{37} \end{document} \]
Exercise 9 (B) QUESTION 1 Find the amount and compound interest on 4000 at 12% p.a. for 2 years , compounded annually . Sol : Principal for first year = 4000 and R = 12 , T = 1 year Interest for the first year = 480 Principal for the second year = 4000 + …
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Exercise 9 (A) QUESTION 1 What will be the simple interest for 1 year 4 months on a sum of 25800 at the rate of 14% p.a. ? Sol : We know = 4816 QUESTION 2 What will 5000 amount to at 8% p.a. for the period from april 6 , 2017 to june …
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Exercise 8B QUESTION 1 The marked price of a saree is ₹ 3800 . The shopkeeper offers a discount of 15% during sale time . What is the selling price of saree ? Sol : Given : M.P = 3800 and Discount = 15% = 3,230 QUESTION 2 The marked price of a shirt …
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Exercise 14.3 QUESTION 1 In the given figure, compute the area of quadrilateral ABCD. Sol : Given : Here from the given figure we gwt (1) ABCD is a quadrilateral with base AB . (2) ΔABD is a right angled triangle. (3) ΔBCD is a right angled triangle with base BC right angled at B …
Rd sharma solution 2019 class 9 chapter 14 Areas of paralllelograms and triangles Read More »
Exercise 14.1 Exercise 14.2 Exercise 14.2 QUESTION 1 lf the given figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm. AE = 8 cm and CF =10 cm, find AD. Sol : Given: Here in the question it is given (1) ABCD is a parallelogram, (2) …
Rd sharma solution 2019 class 9 chapter 14 Areas of paralllelograms and triangles Read More »
Exercise 9.1 QUESTION 1 List five rational numbers between: (i) -1 and 0 Sol : Let us write — 1 and 0 as rational numbers with denominator 6 Here we take 6 because we want five rational number ⇒ and ⇒ ⇒ (ii) -2 and -1 Sol : Let us write —2 and — 1 …
NCERT solution class 7 chapter 9 Rational numbers exercise 9.1 mathematics Read More »
EXERCISE 8.3 QUESTION 1 Tell what is the profit or loss in the following transactions. Also find profit percent or loss percent in each case. (a) Gardening shears bought for Rs 250 and sold for Rs 325. Sol : (a) Cost price = Rs 250 Selling price = Rs 325 Profit = 325 — 250 …
NCERT solution class 7 chapter 8 Comparing Quantities exercise 8.3 mathematics Read More »
Exercise 10(A) QUESTION 1 Identify the constant and variables from the following : (a) 5xyz Sol : Constant : 5 Variable : xyz (b) 7 Sol : Constant : 7 Variable : No variable (c) 8y Sol : Constant : 8 Variable : y (d) 5y – 3x Sol : Constant : 5 , 3 …
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Exercise 9(A) Exercise 9(B) Exercise 9(C) Exercise 9(D) EXERCISE 9(D) Question 1 Find the compound interest on ₹ 6,500 in 3 years at 10% per annum compounded annually. Sol : Principal for the first year = ₹ 6,500 Interest for the first year = 650 ∴ Amount at the end of the first year = …
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EXERCISE 1.2 QUESTION 1 Express the following rational numbers as decimals: (i) $\dfrac{42}{100}$ Sol : (ii) $\dfrac{327}{100}$ (iii) $\dfrac{15}{4}$
Exercise 9(A) Exercise 9(B) Exercise 9(C) Exercise 9(D) EXERCISE 9(C) QUESTION 1 An air conditioner is tested at ₹ 15000.What is the cost of the air conditioner to the customer, if he has to pay 5% as the sale tax? Sol: Cost Price of air conditioner= ₹ 15,000 Sale tax = 5% of 15,000 …
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EXERCISE 8.2 QUESTION 1 Convert the given fractional numbers to percent: (a) Sol : = 12.5% (b) Sol : = 5 × 25% = 125% (c) Sol : = 7.5% (d) Sol : QUESTION 2 Convert the given decimal fractions to percents: (a) 0.65 Sol : = 65% (b) 2.1 Sol : = 210% …
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Exercise 7.1 Exercise 7.2 EXERCISE 7.2 QUESTION 1 Which congruence criterion do you use in the following ? (a) Given: AC = DF, AB = DE, BC = EF Sol : By SSS congruence criterion, since it is given that AC = DF, AB = DE, BC = EF The three sides of one …
NCERT solution class 7 chapter 7 Congruence of Triangles exercise 7.2 mathematics Read More »
Exercise 7.1 Exercise 7.2 EXERCISE 7.1 QUESTION 1 Complete the following statements : 1. Two line segments are congruent if _______________. 2. Among two congruent angles, one has a measure of 70∘ , the measure of other angle is _______________. 3. When we write ∠A = ∠B, we actually mean _______________. Sol : …
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Exercise 9(A) Exercise 9(B) Exercise 9(C) Exercise 9(D) EXERCISE 9(B) Question 1 Find the S.P. when M.P. =₹ 990 and discount = 10%. Sol : We know that Selling Price = Market Price – Discount S.P = ( 990 ) – (10% of 990 ) S.P = 990 – S.P = 990 – 99 …
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EXERCISE 6.5 QUESTION 1 PQR is a triangle right angled at P . If PQ = 10 cm and PR = 24 cm , find QR Sol : By applying Pythagoras theorem in △PQR, (PQ)2 + (PR)2 = (RQ)2 (10)2 + (24)2 = (RQ)2 100 + 576 = (QR)2 676 = (QR)2 QR = 26 …
Exercise 6.4 QUESTION 1 Is it possible to have a triangle with the following sides? (i) 2 cm , 3 cm , 5 cm (ii) 3 cm , 6 cm , 7 cm (iii) 6 cm , 3 cm , 2 cm Sol : In a triangle, the sum of the lengths of either two …
Exercise 6.3 QUESTION 1 Find the value of the unknown x in the following diagrams : The sum of all interior angles of a triangle is 180°. By using this property, these problems can be solved as follows. (i) x + 50° + 60° = 180° x + 110° = 180° x = 180° -110° …
The Tiny Teacher Though so very small, the ant is unbelievably intelligent and hard-working. Among the various kinds, the commonest ant is black or red. Ants live in comfortable homes called ‘anthills’. NAME the smallest insect you have seen, and the wisest. Is it the fly? No, it isn’t. Is it the mosquito? No, …
Translation of chapter 1 The tiny teacher in hindi class 7 english An alien hand Read More »
EXERCISE 6.2 QUESTION 1 Find the value of the unknown exterior angle x in the following diagrams: (i) x = 50° + 70° (Exterior angle theorem) x = 120° (ii) x = 65° + 45° (Exterior angle theorem) x = 110° (iii) x = 40° + 30° (Exterior angle theorem) = 70° (iv) x = …
EXERCISE 6.1 QUESTION 1 In ΔPQR, D is the mid—point of (i) is ______ . (ii) PD is ______ . (iii) Is QM = MR ? Sol : (i) Altitude (ii) Median (iii) No QUESTION 2 Draw rough sketches for the following: (a) In ∆ABC , BE is a median. Sol : (b) In …
Exercise 5.2 QUESTION 1 State the property that is used in each of the following statements ? (i) If a || b, then ∠1 = ∠5 Sol : Corresponding angles property (ii) If ∠4 = ∠6 , then a || b Sol : Alternate interior angles property (iii) If ∠4 + ∠5 = …
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Exercise 5.1 QUESTION 1 Find the complement of each of the following angles: The sum of the measures of complementary angles is 90°. (i) 20° Complement = 90° – 20° = 70° (ii) 63° Complement = 90° – 63° = 27° (iii) 57° Complement = 90° – 57° = 33° QUESTION 2 …
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Exercise 4.1 QUESTION 1 Complete the last column of the table s.no Equation Value Say , whether the equation is satisfied (Yes/NO) (i) x + 3 = 0 x = 3 (ii) x + 3 = 0 x = 0 (iii) x + 3 = 0 x = -3 (iv) x – 7 = 1 …
NCERT solution class 7 chapter 4 simple equations exercise 4.1 mathematics Read More »
सदाचार ( क ) यस्मिन् देशे य आचारः पारम्पर्यक्रमागतः । वर्णानां सान्तरालानां स सदाचारः उच्सते ।।1।। अन्वयः – यस्मिन् देशे वर्णानां सान्तरालानां पारम्पर्यक्रमात् आगतः यः आचारः सः सदाचारः उच्यते । सरलार्थ – जिस देश में सभी वर्गो का तथा वर्गो के बीच आए सभी उपवर्गो का परम्परा क्रम से प्राप्त जो व्यवहार है , वह …
Sanskrit translation of chapter 6 सदाचार in hindi class 7 Read More »
*** QuickLaTeX cannot compile formula: \frac{\cancel{2}}{\cancel{2}} *** Error message: Undefined control sequence \cancel. leading text: $\frac{\cancel{2}}{\cancel{2}} *** QuickLaTeX cannot compile formula: \bcancel{\mahsf{III}} *** Error message: Undefined control sequence \bcancel. leading text: $\bcancel Exercise 3.1 Question 1 Find the range of heights of any ten students of your class. Sol : Let the heights (in cm) of 10 students of our class be 125 , 127 …
Exercise 2.1 Question 1 Solve : (i) Sol : (ii) Sol : (iii) Sol : (iv) Sol : (v) Sol : (vi) Sol : (vii) Sol :
Exercise 2.7 Question 1 Find: (i) Sol : (ii) Sol : = 0.07 (iii) Sol : = 0.62 (iv) Sol : = 10.9 (v) Sol : = 162.8 (vi) Sol : = 2.07 (vii) Sol : = 0.99 (viii) Sol : =0.16 Question 2 Find: (i) Sol : 0.48 (ii) Sol : 5.25 …
Exercise 2.6 Question 1 Find: (i) Sol : = 1.2 (ii) Sol : = 36.8 (iii) Sol : = 13.55 (iv) Sol : = 80.4 (v) Sol : = 0.35 (vi) Sol : = 844.08 (vii) Sol : = 1.72 Question 2 Find the area of rectangle whose length is 5.7 cm and breadth …
Exercise 2.4 Question 1 Find : (i) Sol : = 16 (ii) Sol : (iii) Sol : (iv) Sol : (v) Sol : (vi) Sol : Question 2 Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers. (i) (ii) …
Exercise 2.5 Question 1 Which is greater? (i) 0.5 or 0.05 (ii) 0.7 or 0.5 (iii) 7 or 0.7 (iv) 1.37 or 1.49 (v) 2.03 or 2.30 (vi) 0.8 or 0.88 Sol : (i) 0.5 or 0.05 Converting these decimal numbers into equivalent fractions, and It can be observed that both fractions have the same …
हास्यबालकविसम्मेलनम् (हास्य बालकवि सम्मेलन) (क) (विविध-वेशभूषाधारिण: चत्वार बालकव: मञचस्य उपरि उपविष्टा: सन्ति । अध: श्रोतार: हास्यकविताश्रवणाय उत्सुका: सन्ति कोलाहलं च कुर्वन्ति) सरलार्थ – (अनेक प्रकार की वेशभूषा को धारण किए हुए चार बाल कवि मंच पर बैठे हुए हैं । नीचे श्रोता जन हास्य कविताएँ सुनने के लिए उत्सुक हैं तथा वे शोर कर रहे …
Sanskrit solution chapter 4 हास्यबालकविसम्मेलनम् Class 7 translated in hindi Read More »
EXERCISE 5.3 1.Compute the indicated products: (i) \( \begin{bmatrix}~~~a&b\\-b&a\end{bmatrix}\begin{bmatrix}a&-b\\b&a\end{bmatrix} \) (ii) \( \begin{bmatrix}1&-2\\2&~~~3\end{bmatrix}\begin{bmatrix}~~~1&2&~~~3\\-3&2&-1\end{bmatrix} \) (iii)\( \begin{bmatrix}2&3&4\\3&4&5\\4&5&6\end{bmatrix}\begin{bmatrix}1&-3&5\\0&~~~2&4\\3&~~~0&5\end{bmatrix} \) 2. Show that AB\( \not= \)BA in each of the following cases: (i) A=\( \begin{bmatrix}5&-1\\6&~~~7\end{bmatrix} \) and B=\( \begin{bmatrix}2&1\\3&4\end{bmatrix} \) (ii) A=\( \begin{bmatrix}-1&~~~1&0\\~~~0&-1&1\\~~~2&~~~3&4\end{bmatrix} \) and B=\( \begin{bmatrix}1&2&3\\0&1&0\\1&1&0\end{bmatrix} \) (iii) A=\( \begin{bmatrix}1&3&0\\1&1&0\\4&1&0\end{bmatrix} \) and B=\( \begin{bmatrix}0&1&0\\1&0&0\\0&5&1\end{bmatrix} \) 3.Compare the products AB …
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EXERCISE 5.2 Question 1 1.Compute the following sums: (i) (ii) Question 2 Let , and . Find each of the following: (i)2A-3B (ii)B-4C (iii)3A-C (iv)3A-2B+3C Question 3 If , , ,find : (i)A+B and B+C (ii)2B+3A and 3C-4B Question 4 Let , and . Compute 2A-3B+4C. …
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Exercise 2.1 Question 1 (i) If find the values of and Sol : By the definition of equality of ordered pairs, we have: and and and b = 1 (ii) If find the values of x and y Sol : By the definition of equality of ordered pairs, we have: and x = 2 …
Exercise 13.1 Question 1 A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine: (i) The area of the sheet required for making the box. (ii) The cost of sheet for it, if …
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Exercise 9.2 Question 1 Prove that the function is everywhere continuous . Sol : When , we have We know that sin x as well as the identity function x are everywhere continuous . So , the quotient function is continuous at each point When , we have , which is a polynomial function . Therefore, is …
Exercise 3.1 Question 1 Give an example of a function (i) which is one-one but not onto Sol : Injectivity : Let x and y be any two elements in the domain (Z) , such that So , is one-one Surjectivity : Let y be any element in the co-domain (Z) , such that for some …
Exercise 2.1 Question 1 The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case. (i) Sol : (i) The number of zeroes is 0 as the graph does not cut the x-axis at any point. (ii) Sol …
Exercise 1.1 Exercise 1.2 Exercise 1.3 Exercise 1.4 Exercise 1.4 Question 1 Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: (i) Sol : The denominator is in the form of Hence, the decimal expansion of is terminating. …
Exercise 1.1 Exercise 1.2 Exercise 1.3 Exercise 1.4 Exercise 1.3 Question 1 Prove that is irrational . Sol : Let is a rational number. Therefore, we can find two integers a , b such that Let a and b have a common factor other than 1 . Then we can divide them by the …
Exercise 1.1 Exercise 1.2 Exercise 1.3 Exercise 1.4 Exercise 1.2 Question 1 Express each number as product of its prime factors: (i) 140 Sol : (ii) 156 Sol : (iii) 3825 Sol : (iv) 5005 Sol : (v) 7429 Sol : Question 2 Find the LCM and HCF of …
Exercise 1.1 Question 1 Let A be the set of all human beings in a town at a particular time. Determine whether each of the following relations are reflexive, symmetric and transitive: (i) R = {(x , y) : x and y work at the same place } Sol : (Reflexivity) Let x be an …
Exercise 11.2 Question 1 Differentiate Sol : Let Differentiating y with respect to x we get, So, Question 2 Differentiate Sol : Let which can be written as Differentiating y with respect to x we get, So, Question 3 Differentiate Sol : Let Differentiating y with respect to x we get, …
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Exercise 4.1 Question 1 Find the principal value of each of the following: (i) Sol : (ii) Sol : (iii) Sol : (iv) Sol : (v) Sol : (vi) Sol : Let Therefore We know that principal value of and Therefore principle …
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Exercise 9.1 Question 1 Test the continuity of the function on at the origin: Sol : Given We observe (LHL at x= 0) =-1 (RHL at x = 0) =1 Hence, is discontinuous at the origin. Question 2 A function is defined as Show that is continuous that Sol : Given We observe …
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Exercise 1.1 Exercise 1.2 Exercise 1.3 Exercise 1.4 Exercise 1.1 Question 1 Use Euclid’s division algorithm to find the HCF of: (i) 135 and 225 Sol : (i) 135 and 225 Since 225 > 135, we apply the division lemma to 225 and 135 to obtain 225 = 135 × 1 + 90 …
Exercise 19.2 Question 1
Exercise 19.1 Question 1 Evaluate each of the following integrals: (i) Sol : (ii) Sol : (iii) Sol : (iv) Sol : (v) Sol : (vi) Sol : (vii) Sol : (viii) Sol : Question 2 Evaluate : (i) Sol : (ii) Sol : …
Rd sharma solution class 1 chapter Indefinite integrals Read More »
Exercise 28.1 Question 1 Find the vector and cartesian equations of the line through the point and which is parallel to the vector Sol : We know that the vector equation of a line passing through a point with position vector and parallel to is Here, Vector equation of the required line is given …
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Exercise 16.1 Exercise 16.2 Exercise 16.2 Question 1 If 21y5 is a multiple of 9, where y is a digit, what is the value of y? Sol : If a number is a multiple of 9, then the sum of its digits will be divisible by 9. Sum of digits of 21y5 = 2 + …
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Exercise 16.1 Exercise 16.2 Exercise 16.1 Question 1 Find the values of the letters in the following and give reasons for the steps involved. Sol : The addition of A and 5 is giving 2 i.e., a number whose ones digit is 2. This is possible only when digit A is 7. In that case, …
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Exercise 15.1 Exercise 15.2 Exercise 15.3 Exercise 15.3 Question 1 Draw the graphs for the following tables of values, with suitable scales on the axes. (a) Cost of apples Number of apples 1 2 3 4 5 Cost (in Rs) 5 10 15 20 25 (b) Distance travelled by a car Time (in hours) 6 …
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Exercise 15.1 Exercise 15.2 Exercise 15.3 Exercise 15.2 Question 1 Plot the following points on a graph sheet. Verify if they lie on a line (a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5) (b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4) (c) K(2, 3), L(5, 3), M(5, 5), N(2, 5) Sol : (a) …
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Exercise 15.1 Exercise 15.2 Exercise 15.3 Exercise 15.1 Question 1 The following graph shows the temperature of a patient in a hospital, recorded every hour. (a) What was the patient’s temperature at 1 p.m.? (b) When was the patient’s temperature 38.5°C? (c) The patient’s temperature was the same two times during the period given. What …
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Exercise 14.1 Exercise 14.2 Exercise 14.3 Exercise 14.4 Exercise 14.4 Question 1 Find and correct the errors in the statement: 4(x − 5) = 4x − 5 Sol : L.H.S. = 4(x − 5) = 4 × x − 4 × 5 = 4x − 20 ≠ R.H.S. The correct statement is 4(x − 5) …
Exercise 14.1 Exercise 14.2 Exercise 14.3 Exercise 14.4 Exercise 14.3 Question 1 Carry out the following divisions. (i) 28×4 ÷ 56x (ii) −36y3 ÷ 9y2 (iii) 66pq2r3 ÷ 11qr2 (iv) 34x3y3z3 ÷ 51xy2z3 (v) 12a8b8 ÷ (−6a6b4) Sol : (i) 28×4 = 2 × 2 × 7 × x × x × x × x …
Exercise 14.1 Exercise 14.2 Exercise 14.3 Exercise 14.4 Exercise 14.2 Question 1 Factorise the following expressions. (i) a2 + 8a + 16 (ii) p2 − 10p + 25 (iii) 25m2 + 30m + 9 (iv) 49y2 + 84yz + 36z2 (v) 4×2 − 8x + 4 (vi) 121b2 − 88bc + 16c2 (vii) (l + …
Exercise 14.1 Exercise 14.2 Exercise 14.3 Exercise 14.4 Exercise 14.1 Question 1 Find the common factors of the terms (i) 12x, 36 (ii) 2y, 22xy (iii) 14pq, 28p2q2 (iv) 2x, 3×2, 4 (v) 6abc, 24ab2, 12a2b (vi) 16×3, −4×2, 32x (vii) 10pq, 20qr, 30rp (viii) 3x2y3, 10x3y2, 6x2y2z Sol : (i) 12x = 2 × …
Exercise 13.1 Exercise 13.2 Exercise 13.2 Question 1 Which of the following are in inverse proportion? (i) The number of workers on a job and the time to complete the job. (ii) The time taken for a journey and the distance travelled in a uniform speed. (iii) Area of cultivated land and the crop harvested. …
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Exercise 13.1 Exercise 13.2 Exercise 13.1 Question 1 Following are the car parking charges near a railway station up to 4 hours Rs 60 8 hours Rs 100 12 hours Rs 140 24 hours Rs 180 Check if the parking charges are in direct proportion to the parking time. Sol : A table of the …
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Exercise 12.1 Exercise 12.2 Exercise 12.2 Question 1 Express the following numbers in standard form. (i) 0.0000000000085 (ii) 0.00000000000942 (iii) 6020000000000000 (iv) 0.00000000837 (v) 31860000000 Sol : (i) 0.0000000000085 = 8.5 × 10−12 (ii) 0.00000000000942 = 9.42 × 10−12 (iii) 6020000000000000 = 6.02 × 1015 (iv) 0.00000000837 = 8.37 × 10−9 (v) 31860000000 = 3.186 …
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Exercise 12.1 Exercise 12.2 Exercise 12.1 Question 1 Evaluate (i) 3−2 (ii) (−4)−2 (iii) Sol : (i) (ii) (iii) Question 2 Simplify and express the result in power notation with positive exponent. (i) (ii) (iii) (iv) (v) Sol : (i) (−4)5 ÷ (−4)8 = (−4)5 − 8 (am ÷ an = am − …
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Exercise 11.1 Exercise 11.2 Exercise 11.3 Exercise 11.4 Exercise 11.4 Question 1 Given a cylindrical tank, in which situation will you find surface area and in which situation volume. (a) To find how much it can hold (b) Number of cement bags required to plaster it (c) To find the number of smaller tanks that …
Exercise 11.1 Exercise 11.2 Exercise 11.3 Exercise 11.4 Exercise 11.3 Question 1 There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make? Sol : We know that, Total surface area of the cuboid = 2 (lh + bh + lb) Total surface area of …
Exercise 11.1 Exercise 11.2 Exercise 11.3 Exercise 11.4 Exercise 11.2 Question 1 The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m. E Sol : Area of trapezium = (Sum of parallel …
Exercise 11.1 Exercise 11.2 Exercise 11.3 Exercise 11.4 Exercise 11.1 Question 1 A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Sol : Perimeter of square = 4 (Side of the square) = 4 (60 m) = 240 m Perimeter of …
Exercise 10.1 Exercise 10.2 Exercise 10.3 Exercise 10.3 Question 1 Can a polyhedron have for its faces (i) 3 triangles? (ii) 4 triangles? (iii) a square and four triangles? Sol : (i) No, such a polyhedron is not possible. A polyhedron has minimum 4 faces. (ii) Yes, a triangular pyramid has 4 triangular faces. (iii) Yes, a …
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Exercise 10.1 Exercise 10.2 Exercise 10.3 Exercise 10.2 Question 1 Look at the given map of a city. Answer the following. (a) Colour the map as follows: Blue − water plant, red − fire station, orange − library, yellow − schools, green − park, pink − college, purple − hospital, brown − cemetery. (b) Mark a green …
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Exercise 10.1 Exercise 10.2 Exercise 10.3 Exercise 10.1 Question 1 For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. Sol : The given solids, matched to their respective side view and top view, are as follows. Object Side view Top view Question 2 For …
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Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.4 Question 1 Multiply the binomials. (i) (2x + 5) and (4x − 3) (ii) (y − 8) and (3y − 4) (iii) (2.5l − 0.5m) and (2.5l + 0.5m) (iv) (a + 3b) and (x + 5) (v) (2pq + 3q2) and (3pq − 2q2) (vi) …
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Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.5 Question 1 Use a suitable identity to get each of the following products. (i) (x + 3) (x + 3) (ii) (2y + 5) (2y + 5) (iii) (2a − 7) (2a − 7) (iv) (v) (1.1m − 0.4) (1.1 m + 0.4) (vi) (a2 + …
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Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.3 Question 1 Carry out the multiplication of the expressions in each of the following pairs. (i) 4p, q + r (ii) ab, a − b (iii) a + b, 7a2b2 (iv) a2 − 9, 4a (v) pq + qr + rp, 0 Sol : (i) …
NCERT solution class 8 chapter 9 Algebraic Expression and Identities Read More »
Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.2 Question 1 Find the product of the following pairs of monomials. (i) 4, 7p (ii) − 4p, 7p (iii) − 4p, 7pq (iv) 4p3, − 3p (v) 4p, 0 Sol : The product will be as follows. (i) 4 × 7p = 4 × 7 × …
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Exercise 9.1 Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.1 Question 1 Identify the terms, their coefficients for each of the following expressions. (i) 5xyz2 − 3zy (ii) 1 + x + x2 (iii) 4x2y2 − 4x2y2z2 + z2 (iv) 3 − pq + qr − rp (v) (vi) 0.3a − 0.6ab + 0.5b Sol …
NCERT solution class 8 chapter 9 Algebraic Expression and Identities Read More »
Exercise 8.1 Exercise 8.2 Exercise 8.3 Exercise 8.3 Question 1 Calculate the amount and compound interest on (a) Rs 10800 for 3 years at per annum compounded annually. Sol : (a) Principal (P) = Rs 10, 800 Rate (R) = = % (annual) Number of years (n) = 3 Amount, A = C.I. = A …
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Exercise 8.1 Exercise 8.2 Exercise 8.3 Exercise 8.2 Question 1 A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary. Sol : Let the original salary be x. It is given that the new salary is Rs 1,54,000. Original salary + Increment = New salary …
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Exercise 8.1 Exercise 8.2 Exercise 8.3 Exercise 8.1 Question 1 Find the ratio of the following: (a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour. (b) 5 m to 10 km (c) 50 paise to Rs 5 Sol : (a) Ratio of the speed of …
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Exercise 7.1 Exercise 7.2 Exercise 7.2 Question 1 Find the cube root of each of the following numbers by prime factorization method. (i) 64 Sol : (i) Prime factorization of ∴ (ii) 512 Sol : (ii) Prime factorization of ∴ (iii) 10648 Sol : (iii) Prime factorization of ∴ (iv) 27000 Sol …
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Exercise 7.1 Exercise 7.2 Exercise 7.1 Question 1 Which of the following numbers are not perfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656 Sol : (i) The prime factorization of 216 is as follows. 2 216 2 108 2 54 3 27 3 9 3 3 1 216 = 2 × …
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Exercise 6.1 Exercise 6.2 Exercise 6.3 Exercise 6.4 Exercise 6.3 Question 1 What could be the possible ‘one’s’ digits of the square root of each of the following numbers? (i) 9801 (ii) 99856 (iii) 998001 (iv) 657666025 Sol : (i) If the number ends with 1, then the one’s digit of the square root of …
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Exercise 6.1 Exercise 6.2 Exercise 6.3 Exercise 6.4 Exercise 6.4 Question 1 Find the square root of each of the following numbers by division method. (i) 2304 Sol : (i) The square root of 2304 can be calculated as follows. 48 4 88 704 704 0 ∴ (ii) 4489 Sol : (ii) The square …
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Exercise 6.1 Exercise 6.2 Exercise 6.3 Exercise 6.4 Exercise 6.1 Question 1 What will be the unit digit of the squares of the following numbers? (i) 81 (ii) 272 (iii) 799 (iv) 3853 (v) 1234 (vi) 26387 (vii) 52698 (viii) 99880 (ix) 12796 (x) 55555 Sol : We know that if a number has its …
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Exercise 6.1 Exercise 6.2 Exercise 6.3 Exercise 6.4 Exercise 6.2 Question 1 Find the square of the following numbers (i) 32 (ii) 35 (iii) 86 (iv) 93 (v) 71 (vi) 46 Sol : (i) 322 = (30 + 2)2 = 30 (30 + 2) + 2 (30 + 2) = 302 + 30 × 2 …
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Exercise 5.1 Exercise 5.2 Exercise 5.3 Exercise 5.3 Question 1 List the outcomes you can see in these experiments. (a) Spinning a wheel (b) Tossing two coins together Sol : (a) On spinning the given wheel, the possible outcomes are A, B, C, D. (b) By tossing two coins together, the possible outcomes are …
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Exercise 5.1 Exercise 5.2 Exercise 5.3 Exercise 5.2 Question 1 A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey. From this pie chart answer the following − (i) If 20 people liked …
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Exercise 5.1 Exercise 5.2 Exercise 5.3 Exercise 5.1 Question 1 For which of these would you use a histogram to show the data? (a) The number of letters for different areas in a postman’s bag. (b) The height of competitors in an athletics meet. (c) The number of cassettes produced by 5 companies. (d) …
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Determinants Exercise 6.1 Question 1 Write the minors and cofactors of each element of the first column of the following matrices and hence evaluate the determinant in each case: (i) A = Sol : In a matrix, the minor is obtained for a particular element , by deleting that row and column where the element …
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.5 Question 1 Draw the following: The square READ with RE = 5.1 cm Sol : All the sides of a square are of the same measure and also all the interior angles of a square are of 90º measure. Therefore, the given square …
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.4 Question 1 Construct the following quadrilaterals, (i) Quadrilateral DEAR DE = 4 cm EA = 5 cm AR = 4.5 cm ∠E = 60° ∠A = 90° Sol : (Step-1)A rough sketch of this quadrilateral can be drawn as follows. (Step-2) Draw a …
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.3 Question 1 Construct the following quadrilaterals. (i) Quadrilateral MORE MO = 6 cm OR = 4.5 cm ∠M = 60° ∠O = 105° ∠R = 105° Sol : (Step-1)A rough sketch of this quadrilateral can be drawn as follows. (Step-2) Draw a line …
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.2 Question 1 Construct the following quadrilaterals. (i) Quadrilateral LIFT LI = 4 cm IF = 3 cm TL = 2.5 cm LF = 4.5 cm IT = 4 cm Sol : A rough sketch of this quadrilateral can be drawn as follows. (Step-1) …
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.1 Question 1 Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm Sol : Firstly, a rough sketch of this quadrilateral can be drawn as follows. …
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Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Exercise 3.4 Question 1 State whether True or False. (a) All rectangles are squares. (b) All rhombuses are parallelograms. (c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms. (e) All kites are rhombuses. (f) All rhombuses are kites. (g) All parallelograms are …
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Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Exercise 3.3 Question 1 Given a parallelogram ABCD. Complete each statement along with the definition or property used. (i) AD = … (ii) ∠DCB = … (iii) OC = … (iv) m∠DAB + m∠CDA = … Sol : (i) In a parallelogram, opposite sides are equal …
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Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Exercise 3.2 Question 1 Find x in the following figures. (a) Sol : We know that the sum of all exterior angles of any polygon is 360º. (a) 125° + 125° + x = 360° 250° + x = 360° x = 110° (b) Sol : We …
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Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Exercise 3.1 Question 1 Given here are some figures. (1) (2) (3) (4) (5) (6) (7) (8) Classify each of them on the basis of the following. (a) Simple curve (b) Simple closed curve (c) Polygon (d) Convex polygon (e) Concave polygon Sol : (a) 1, 2, …
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Derivative as a rate measure Exercise 13.1 1. Find the rate of change of the total surface area of a cylinder of radius r and height h, when the radius varies. Sol : 2. Find the rate of change of the volume of a sphere with respect to its diameter. Sol : 3. …
Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 Exercise 2.6 Question 1 : Solve : \( \dfrac{8x-3}{3x}=2 \) Sol : \( \dfrac{8x-3}{3x}=2 \) On multiplying both sides by 3x , we obtain 8x -3 = 6x 8x – 6x = 3 2x = 3 \( x=\dfrac{3}{2} \) Question 2 : Solve : \( \dfrac{9x}{7-6x}=15 \) Sol : …
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Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 Exercise 2.5 Question 1 : Solve the linear equation \( \dfrac{x}{2}-\dfrac{1}{5}=\dfrac{x}{3}+\dfrac{1}{4} \) Sol : \( \dfrac{x}{2}-\dfrac{1}{5}=\dfrac{x}{3}+\dfrac{1}{4} \) L.C.M of the denominators 2, 3, 4, and 5 is 60 Multiplying both sides by 60 , we obtain \( \begin{align*}60\bigg(\dfrac{x}{2}-\dfrac{1}{5}\bigg)&=60\bigg(\dfrac{x}{3}+\dfrac{1}{4}\bigg)\\30x-12&=20x+15\\30x-20x&=15+12\\10x&=27\\x&=\dfrac{27}{10}\end{align*} \) Question 2 : Solve the linear equation \( …
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Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 Exercise 2.4 Question 1: Amina thinks a number and subtracts \( \dfrac{5}{2} \) from it . She multiplies the result by 8. The result now obtained is 3 times the same number she thought of . What is the number ? Sol : Let the number be x . …
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Elon Musk’s Boring Company set to unveil its first Los Angeles-area tunnel The tunnel, an initial proof-of-concept, has been excavated along a path that runs not through Los Angeles but beneath the tiny adjacent municipality of Hawthorne, where Musk’s Boring Company and his SpaceX rocket firm are both headquartered. The Boring Company announced plans …
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Light : is a form of energy which enables us to see objects from which it comes (or from which it reflects.) Luminous objects : Those objects which gives out their own light are called luminous objects. examples are sun , candle, Lamp etc Non-Luminous objects : Those objects which are unable to gives out …
Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 EXERCISE 2.2 Question 1 : If you subtract \( \dfrac{1}{2} \) from a number and multiply the result by \( \dfrac{1}{2} \) , you get \( \dfrac{1}{8} \). What is the number ? sol : Let the number be x . According to the question , \( \bigg(x-\dfrac{1}{2}\bigg)\times\dfrac{1}{2}=\dfrac{1}{8} \) On multiplying …
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Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 EXERCISE 2.3 Question 1 : Solve and check result : 3x = 2x + 18 Sol : 3x = 2x + 18 On transposing 2x to L.H.S , we obtain 3x – 2x = 18 x = 18 L.H.S \( \begin{align*}&=3x\\&=3\times{}18\\&=54\end{align*} \) R.H.S \( \begin{align*}&=2x+18\\&=2\times{18}+18\\&=36+18\\&=54\end{align*} \) L.H.S = R.H.S Hence, …
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Exercise 2.1 Exercise 2.2 Exercise 2.3 Exercise 2.4 Exercise 2.5 Exercise 2.6 EXERCISE 2.1 Question 1 : Solve : x – 2=7 sol : x – 2=7 On transposing 2 to R.H.S , we obtain x = 7 + 2 x = 9 Question 2 : Solve : y+3=10 sol : y+3=10 On transposing 3 to R.H.S , we …
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Exercise 1.1 Exercise 1.2 EXERCISE 1.2 Question 1 : Represent these numbers on the number line. (i) Sol: can be represented on the number line as follows. (ii) Sol : can be represented on the number line as follows. Question 2 : Represent on the number line. can be represented on the number …
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Exercise 1.1 Exercise 1.2 EXERCISE 1.1 Question 1 Using appropriate properties find . (i) sol : = 2 (ii) sol : Question 2 : Write the additive inverse of each of the following : (i) sol : Additive inverse= (ii) sol : Additive inverse= (iii) sol : Additive inverse= (iv) sol : …
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WORK AND ENERGY Whenever a force makes a body move , then work is said to be done or work is done when force produces motion. And for doing work energy is required. Work done by a force on a body depends on the two factors : (i) Magnitude of the force. (ii) Distance through …
PERIODIC CLASSIFICATION OF ELEMENTS Firstly what is element , an element is a substance containing atoms of only one type e.g Na , Au , Ca , etc . Up till now there are around 118 elements are found . Which is such a large amount and is not possible to learn about each and every …
Differentiation Exercise 11.1 Differentiate the following functions from first principles : QUESTION 1 Sol : QUESTION 2 Sol : QUESTION 3 Sol : QUESTION 4 Sol : QUESTION 5 Sol : Question 6 Sol : Question 7 Sol : Sol : Sol : Sol :
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HYDROCARBONS Organic compound are composed of only carbons and hydrogen are called hydrocarbons. ON THE BASIS OF STRUCTURE HYDROCARBONS ARE OF TWO TYPES 1. Acyclic or open chain hydrocarbons 2. Cyclic or closed chain hydrocarbons Acyclic or open chain hydrocarbons These hydrocarbons contains open chains of carbon atoms in their molecules. These hydrocarbons are …
COAL AND PETROLEUM Firstly what is fuel ,fuel is a material that consist of energy stored in it. Most of the fuel are free carbons (coal , coke ,charcoal) or just carbon compounds (kerosene , LPG , petrol). When carbon in any form is burned in oxygen (of air) and forms carbon-di-oxide also releases heat …
WORK, ENERGY AND POWER In your daily life you have seen many things like person pushing heavy box , a teacher teaching students , mom cooking food , all are said to be working . And the person who have capacity to do heavy work is said to be having high stamina or energy. In …
REDOX REACTIONS Chemical reaction in which electron transfer from one chemical substance to another are termed as oxidation-reduction reactions or redox reactions. You can see many examples from your daily life like production of electricity in batteries , production of heat by burning chemical substances , electroplating , manufacturing of useful products caustic soda, potassium …
Thermodynamics The word “thermodynamics” is derived from Greek words therme (heat) and dinamics (flow or motion) . Thermodynamics mainly deals with the transformation of heat into mechanical energy and vice versa . LIMITATIONS OF THERMODYNAMICS (i) It does not give any direct information about the nature or structure of matter. (ii) It does not give …
Straight line EXERCISE 23.1 1. Find the slopes of the lines which make the following angles with the positive direction of x-axis : (i) \( -\dfrac{\pi}{4} \) sol: m=tan\( \theta \) =tan(\( -\dfrac{\pi}{4} \)) = -1 (ii) \( \dfrac{2\pi}{3} \) sol: m=tan\( \theta \) =tan(\( \dfrac{2\pi}{3} \)) = tan(\( \pi-\dfrac{\pi}{3} \)) = \( -\sqrt{3} \) (iii) \( \dfrac{3\pi}{4} \) …
सुभाषितानि (क) पृथिव्यां त्रीणि रत्नानि जलमत्रं सुभाषितम् । मूढै: पाषाणखण्डेषु रत्नसंज्ञा विधीयती ।। 1 ।। सरलार्थ: पृथ्वी पर केवल तीन ही रत्न है। जल, अन्न और मधुर वचन। बुद्धिमान व्यक्ति इनकी समझ रखते है परन्तु मूर्ख लोग पत्थर के टुकड़ों को ही रत्न समझते है। शब्द अर्थ पृथिव्यां पृथ्वी में त्रीणि तीन रत्नानि रत्न जलमन्नं …
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SOME BASIC CONCEPT OF CHEMISTRY Classification of matter on the basis of chemical properties: Matter classified into two groups pure substances and mixtures.Pure substances further divided into elements and compounds. 1. Elements : it is a simple individual which has a defined atomic number and has a definite position in periodic table. All the elements …
DOS (DISK OPERATING SYSTEM) DOS is the most popular example of single user operating system. DOS stands for Disk Operating System. Disk operating system is a ready-made program which provide various computer handling facilities through its appropriate commands. BOOTING The loading procedure of operating system into computer’s main memory or RAM to make a user …
SOFTWARE AT A GLANCE As you know, software is a collection of programs and a program is a set of instructions written in a programming language.Using software, user , user interacts with the computer. It controls and governs the operation of a computer system. Software can typically be classified into three categories : 1. System …
SECONDARY MEMORY As you read in previous lesson that computer have Primary memory or internal memory. Now, let us see the secondary memory.Secondary memory is also called External memory of a computer. We use secondary memory devices to store data and information permanently. There are many types of secondary devices available. Some of secondary memory …
PRIMARY MEMORY Memory unit of a computer holds (store) all data, instructions and processed data.Memory unit of computer is classified in following two categories: 1. Primary Memory (we study it in this chapter) 2. Secondary Memory (we will study in the next chapter) Primary memory or main memory is known as computer’s own memory or …
OUTPUT DEVICES The main function of an output device id to convert the binary information inside computer in numbers and words so as to be easily understood by the user.Whatever we input the data, it is processed and comes in front of us in special format which is called output.To showing this output there are …
INPUT DEVICES Input devices is a device through which we feed data into the computer.When data are entered in the form of digits, alphabets and other special character, input devices converts it into their respective codes to be used by computer.There are many input devices which can be used for inputing data with different …
COMPUTERS AND ITS COMPONENTS COMPUTER-MORE THAN A CALCULATING DEVICE Computer is not mere a calculating device.It is a machine that can perform both arithmetic and non-arithmetic operations like copy, move select, compare etc.It works on alphabets, represents symbols and ideas as per the requirements of the user. You can say, a computer is a …
CHARACTERISTICS OF COMPUTER Computer have become necessary thing of our lives.Computers are being used almost every field.You can see computers everywhere in banks, schools, railways, airports, laboratories , hospitals shops etc. There are some amazing characteristics of computer like its speed, storage, capacity, accuracy.These characteristics have bothered people to shift to computer working from manual …
CLASSIFICATION BY SIZE AND PERFORMANCE According to the purpose-wise Digital computer can be classified in to two categories: Special purpose computer Special purpose computers is designed in a way that it could perform special task.Programs permanently stored at the time of manufacturing for the particular job in special purpose computer. General purpose computer Such type …
CLASSIFICATION OF COMPUTERS BY TYPES The computer have been classified into three categories according to their types. 1. Analog Computers 2. Digital Computers 3. Hybrid Computers ANALOG COMPUTERS ‘Analog’ is basically a Greek Word, which means ‘similar’.Analog Computer works on the principle of measurement.So,analog computers are based on the similarities between any two quantities.These two …
HISTORICAL EVOLUTION OF COMPUTER The ascent of computer is very old.It took long duration to mature.Ancient people used stone,bones,beads etc for calculation and to keep record but as a civilization developed, people felt the need for calculating devices.The earliest and the simplest device that was used for calculation was the Abacus. THE ABACUS Abacus was …
Exercise 9(A) Exercise 9(B) Exercise 9(C) Exercise 9(D) COMPARING QUANTITIES EXERCISE 9(A) QUESTION 1 Express each of the following ratios in the simplest form: (a) 3 kg 500 g : 4 kg 250 g Sol : As we know that , 1 kg = 1000 g so , 3 kg 500 g can be …
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CLASSIFICATION OF ELEMENTS AND PERIODICITY IN PROPERTIES Brief Historical Development Of Periodic Table 1.Johann Dobereiner’s (Law of triads) In between 1815 and 1829 he gave law of triads.According to which group of three elements which posses similar chemical properties, then the central element mass is equal to the arithmetic mean of atomic masses of the …
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RATIONAL NUMBERS EXERCISE 2(A) 1.Using properties find: (a) Sol : using property Take L.C.M of 14 and 56 is 56 2 14 , 56 2 4 , 28 2 2, 14 7 1, 7 1, 1 Take L.C.M of 7 and 8 is 56 2 7 , 8 2 7 , 4 2 7 , …
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CUBE AND CUBE ROOTS EXERCISE 8(A) 1.Find the cubes of : (a) 2.4 (b) 0.2.5 (c) 40 (d) 51 (e) 1.4 (f) 0.09 (g) \( 3\dfrac{7}{4} \) (h) \( \dfrac{6}{7} \) (i) \( 2\dfrac{18}{11} \) (j) \( 1\dfrac{6}{17} \) 2.Which of the following are perfect cubes ? (a) 200 (b) 9261 (c) 64 (d) 4095 (e) 864 3.Which …
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SQUARES AND SQUARE ROOTS EXERCISE 7(A) 1.Write the unit’s digits of the following numbers: (a)93 (b)72 (c)546 (d)931 2.Without actual squaring find the value of: (a)\( 22^2-21^2 \) (b)\( 685^2-684^2 \) (c)\( 108^2-107^2 \) 3.Which of the following numbers are the squares of odd numbers ? (a)9 (b)225 (c)1089 (d)7395 4.Which of the …
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Exercise 5.1 Exercise 5.2 Exercise 5.3 EXERCISE 5.1 Question 1 If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements? Sol: Order of matrix = number of rows number of column OR Total number of elements = number of rows number of column Thus, …
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KINEMATICS The branch of physics which deals with the study of the objects at rest and in motion is called mechanics. It is further divided into two parts are: 1.Statics Statics is the branch of mechanics which deals with the study of objects at rest. An object can be at rest only when all the …
UNIT AND MEASUREMENT Units of measurement are vital parts of any physical quantity. Just as the person is known by his or her name, the physical quantities are known by the units of measurement. System of unit There are four categories of system of unit. 1.C.G.S : In the CGS system of measurement length is …
PROFIT,LOSS AND DISCOUNT EXERCISE 8 (A) QUESTION 1 A peon purchased a chair for ₹ 700, spent ₹ 170 on its repair and ₹ 30 on the cartage.If he sold the chair for ₹ 1080, what is his gain percent ? Sol : Cost price of chair = 700 + 170 + 30 = 900 …
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PLAYING WITH NUMBERS EXERCISE 5 (A) QUESTION 1 The sum of the digits of a 2 digit number is 9.The numbers is 6 times the unit digit.Find the number. Sol : The sum of two digit number is 9. Where u is unit digit and t is ten’s place digit . t + u = …
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NCERT Books download NCERT Books of English Class 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 Class Subject Book Name Download Link 1 English Marigold Download 2 English Marigold Download 3 English Marigold Download 4 English Marigold Download 5 English Marigold Download 6 English Honeysuckle Download 6 English A Pact With …
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CUBE AND CUBE ROOTS EXERCISE 4 (A) 1.Write (T) for True or (F) for false: (i) The cube root of 8000 is 200. (ii) Each prime factor appears 3 times in its cube. (iii) \( \sqrt[3]{27+64}=\sqrt[3]{27}+\sqrt[3]{64} \) (iv) For an integer a, \( a^3 \) is always greater than \( a^2 \). (v) The least number by …
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CUBE AND CUBE ROOTS EXERCISE (A) 1.Find the cube of : (a) 2.4 (b) 0.25 (c) 40 (d) 51 (e) 1.4 (f) 0.09 (g) \( 3\dfrac{4}{5} \) (h) \( \dfrac{6}{7} \) (i) \( 2\dfrac{8}{11} \) (j) \( 1\dfrac{6}{17} \) 2.Which of the following are perfect cubes ? (a) 200 (b) 9261 (c) 64 (d) 4095 (e) 864 3.Which …
Blue ray books class 8 maths solution chapter cube and cube roots Read More »
Square and Square root EXERCISE (A) 1.Write the unit’s digits of the squares of the following numbers. (a) 93 (b) 72 (c) 546 (d) 931 2.Without actual squaring find the value of: (a) \( 22^2-21^2 \) (b)\( 685^2-684^2 \) (c) \( 108^2-107^2 \) 3.Which of the following numbers are the squares of odd numbers. (a) 9 (b) 225 (c) 1089 (d) 7395 4.Which of …
Blue ray books class 8 maths solution chapter square and square root Read More »
NUMBER SYSTEM Exercise 2 (A) 1.Write down the successor of each of the following numbers : (i) 3008 (ii) 501300708 2.Write down the predecessor of each of the following numbers : (i) 84 (ii) 5000 (iii) 3007000 (iv) 506080301 3.How many whole numbers are there between 31 and 517 ? 4.Write the next three consecutive natural numbers : (i) 98 (ii) 835 …
Exercise 1 (A) 1.Which of the following collection are sets ? If not a set , give reasons. (a) Planets in our solar system. (b) Interesting books in the library. (c) Colours of the Rainbow. (d) All difficult problems in your maths book. (e) Top five wicket takers in test cricket. (f) Intelligent boys of …
C Tokens C Tokens are the basic building block of C language which are constructed together to write a program. Tokens in c language are of seven types: Delimiter Keywords Constants Identifiers Special symbols Operators 1.Delimiters A delimiter is a unique character or a sequence of characters which signify beginning or ending of a specific …
Introduction to C language C language is a programming language. Programming language is just like any another natural language(like English) that we used to share informations and for communication. Natural language is bidirectional but programming language is not. Programming language is used to give instructions(commands) to computer or any other devices. Why their is …
