Page 6.11

### Exercise 6.1

**Type 1**

#### Question 1

**Write the answer of each of the following Questions :**

**(i) What is the name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane ?**

Sol : x-axis and y-axis

**(ii) What is the name of each part of the plane formed by these two lines ?**

Sol : First quadrant , second quadrant , third quadrant and fourth quadrant

**(iii) Write the name of the point where these two lines intersect.**

Sol : Origin

**Type 2**

#### Question 2

**In which quadrant each of the following points lies ?**

**(i) A (2,1)**

Sol : First

**(ii) B (-2,2)**

Sol : Second

**(iii) C (-5,-3)**

Sol : Third

**(iv) D (2,-3)**

Sol : Fourth

**(v) E (3,-7)**

Sol : Fourth

**(vi) F (-4,2)**

Sol : Second

**(vii) G (2,3)**

Sol : First

**(viii) H (-1,-4)**

Sol : Third

#### Question 3

**Which of the following points lie on x-axis and which ones lie on y-axis ?**

**(i) A (3,3)**

**(ii) B (0,3)**

**(iii) C (3,0)**

**(iv) D (0,-1)**

**(v) E (-1,0)**

**(vi) F (0,0)**

**(vii) G (-5,0)**

**(viii) H (0,-6)**

Sol : On X-axis: C , E , F and G ,

On Y-axis : B ,D,F and H

**Type 3**

#### Question 4

**Plot the following points in Cartesian coordinate system :**

**(i) A (-3,5)**

**(ii) B (3,-5)**

**(iii) C (-2,-4)**

**(iv) D (5,-5)**

**(v) E (6,-7)**

**(vi) F (0,4)**

**(vii) G (5,0)**

**(viii) H (-1,-3)**

Sol :

#### Question 5

**See the given figure and complete the following statements :**

**(i) The abscissa and the ordinate of the point B are 4 and 3 respectively.Hence, the coordinates of B are (4,3)**

**(ii) The x-coordinate and the y-coordinate of the point M are -3 and 4 respectively. Hence, the coordinate of M are (-3,4)**

**(iii) The x-coordinate and the y-coordinate of the point L are -5 and -4 respectively. Hence,the coordinates of L are (-5,-4)**

**(iv) The x-coordinate and the y-coordinate of the point S are 3 and -4 respectively. Hence, the coordinates of S are (3,-4)**

#### Question 6

**See the given figure and write the following :**

**(i) The coordinates of B**

Sol : (-5 , 2)

**(ii) The coordinates of C**

Sol : (5 , -5)

**(iii) The point identified by the coordinates (-3,-5)**

Sol : E

**(iv) The point identified by the coordinates (2,-4)**

Sol : G

**(v) The abscissa of the point D**

Sol : 6

**(vi) The coordinate of the point H**

Sol : -3

**(vii)The coordinate of the point L**

Sol : (0 , 5)

**(viii) The coordinate of the point M**

Sol : (-3 , 0)

#### Question 7

**Plot the points A (4,4) and B(-4,4) . If O be the origin , then what type of figure is made by joining OA , OB and BA ?**

Sol :

#### Question 8

**Plot the points A (1,2) , B(6,2) , C(6,4) and D (1,4) . What type of figure is made by joining AB , BC , CD and DA ?**

Sol :

#### Question 9

**Find the coordinates of points A, B, C, D, E, F, (3, 11, I, J, K from the given figure .**

(i)

Sol :

A(-1 , 1); B(2.5 , 1); C(1.5 , 3); D(0 , 3); E(-0.5 , -0.5); F(-0.5 , -1); G(2 , -1); H(2 , -0.5);

(ii)

Sol :

A(-2 , 1); B(2 , 1); C(3 , 2); D(3 , 3.5); E(2.5 , 4); F(-1 , 4); G(-2 , 3); H(-1 , -1); I(2 , -1); J(4 , 1); K(-3 , 1);

(iii)

Sol :

A(0 , 6); B(-4 , 6); C(4 , 8); D(-2 , -2); E(-2 , -8); F(4 , -8);

(iv)

Sol :

A(0 , 4); B(-2 , 2.5); C(2 , 2.5); D(-1 , 0); E(1 , 0);