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RD Sharma Solution CLass 12 Mathematics Chapter 21 Areas of Bounded Regions

Chapter 21 – Areas of bounded regions Exercise Ex. 21.1

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Thus, Required area =Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions square units

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions 

and evaluate the area of the region under the curve and above the x-axis.

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 11

Sketch
the region {(x, y):9x2 + 4y2 = 36} and find the area
enclosed by it, using integration.

Solution 11

9x2 + 4y2 =
36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Area of Sector OABCO =

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Area of the whole figure = 4 × Ar. D
OABCO

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

= 6p
sq. units

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 17

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

What dose this integral represent on the graph?.

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded RegionsRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded RegionsRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 27

Find the area of the minor segment of the circle x2 + y2 = a2 cut off by the line x =Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 28

Find the area of the region bounded by the curve x = at2, y = 2at between the ordinates corresponding t = 1 and t = 2.

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 29

Find the area enclosed by the curve x = 3 cost,

y = 2 sin t.

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Chapter 21 – Areas of Bounded Regions Exercise Ex. 21.2

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 3

Find
the area of the region bounded by x2 = 4ay and its latusrectum.

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 4

Find
the area of the region bounded by x2 + 16y = 0 and its latusrectum.

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 5

Find the area of the region bounded by the curve ay2 = x3, the y-axis and the lines y = a and y = 2a.

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Chapter 21 – Areas of Bounded Regions Exercise Ex. 21.3

Question 1

Calculate the area of the region bounded by the parabolas y2 = 6x and x2 = 6y.

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 2

Find
the area of the region common to the parabolas 4y2 = 9x and 3x2
= 16y.

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 11

Find the area of the region between the circles x2 + y2 = 4 and (x – 2)2 + y2 = 4.

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 18

Find the area of the region bounded by y =Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions, x = 2y + 3 in the first quadrant and x-axis.

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 23

Using
Integration, find the area of the region bounded by the triangle whose
vertices are ( 1, 2), (1, 5) and (3,
4).

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Equation of side AB,

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Equation of side BC,

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Equation of side AC,

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Area of required region

= Area of EABFE + Area of BFGCB –
Area of AEGCA

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 24

Find the area of the bounded by y =Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regionsand y = x.

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 28

Find the area enclosed by the curve y = -x2 and the straight line x + y + 2 = 0.

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 30

Using the method of integration, find the area of the region bounded by the following lines: 3x – y – 3 = 0,

2x + y – 12 = 0, x – 2y – 1 = 0.

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 33

 

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

 

 

 

 

 

 

 

Question 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Question 38

Find the area of the region enclosed by the parabola

 x2 = y and the line y = x + 2.

Solution 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions 

Solution 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Chapter 21 – Areas of Bounded Regions Exercise Ex. 21.4

Question 1

Find the area of the region between the parabola x = 4y – y2 and the line x = 2y – 3.

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 2

Find the area bounded by the parabola x = 8 + 2y – y2; the y-axis and the lines y = -1 and y = 3.

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 3

Find the area bounded by the parabola y2 = 4x and the line

y = 2x – 4.

i. By using horizontal strips

ii. By using vertical strips

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 4

Find the area of the region bounded the parabola y2 = 2x and straight line x – y = 4.

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Chapter 21 – Areas of Bounded Regions Exercise MCQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

a. 1/ 2

b. 1

c. -1

d. 2

Solution 1

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 2

The area included between the parabolas y2=4x and x2 = 4y is (in square units)

a. 4/3

b. 1/3

c. 16/3

d. 8/3

Solution 2

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 3

The area bounded by the curve y= loge x and x-axis and the straight line x =e is

  1. e. sq. units
  2. 1 sq. units
  3. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
  4. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
Solution 3

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 4

The area bounded by y=2-x2 and x + y =0 is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 4

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 5

The area bounded by the parabola x =4 -y2 and y-axis, in square units, is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 5

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 6

If An be the area bounded by the curve y = (tan x)n and the lines x = 0, y =0 and x =π /4, then for x > 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 6

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 7

The area of the region formed by x2+y2-6x-4y+12 x and x 5/2 is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 7

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

a. 2

b. 1

c. 4

d. None of these

Solution 8

Correct option: (a)

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 9

The area of the region bounded by the parabola (y-2)2 =x-1 , the tangent to it at the point with the ordinate 3 and the x-axis is

  1. 3
  2. 6
  3. 7
  4. None of these
Solution 9

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

NOTE: Answer not matching with back answer.

Question 10

The area bounded by the parabola y2 = 4ax and x2 = 4 ay is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 10

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 11

The area bounded by the curves y = sin x between the ordinates x =0 , x =π and the x-axis is

  1. 2 sq. units
  2. 4 sq. units
  3. 3 sq. units
  4. 1 sq. units
Solution 11

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 12

The area bounded by the curve y=x4-2x3+x2+3 with x-axis and ordinates corresponding to the minima of y is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 12

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 13

The area bounded by the parabola y2=4ax, latus rectum and x-axis is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 13

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 14

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

NOTE: Answer not matching with back answer.

Question 15

The area common to the parabola y = 2x2 and y=x2+4 is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 15

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 16

The area of the region bounded by the parabola y=x2+1 and the straight line x + y =3 is give by

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 16

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 17

The ratio of the areas between the curves y= cos x and y = cos 2x and x-axis from x =0 to x = π/3 is

  1. 1:2
  2. 2:1
  3. Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions
  4. None of these

Solution 17

Correct options: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

NOTE: Answer not matching with back answer.

Question 18

The area between x-axis and curve y = cos x when 0 x 2 π is

  1. 0
  2. 2
  3. 3
  4. 4
Solution 18

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 19

Area bounded by parabola y2=x and staright line 2y = x is

  1. 4/3
  2. 1
  3. 2/3
  4. 1/3

Solution 19

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

NOTE: Options are modified.

Question 20

The area bounded by the curve y = 4x-x2 and x-axis is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 20

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 21

Area enclosed between the curve y2(2a-x)=x3 and the line x =2a above x-axis is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 21

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 22

The area of the region (in square units)bounded by the curve x2=4y, line x =2 and x-axis is

  1. 1
  2. 2/3
  3. 4/3
  4. 8/3
Solution 22

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 23

The area bounded by the curve y=f (x), x-axis, and the ordinates x =1 and x=b is (b-1) sin (3b+4). Then, f (x) is

  1. (x-1) cos (3x+4)
  2. Sin (3x+4)
  3. Sin (3x+4)+3(x-1)cos (3x+4)
  4. None of these

Solution 23

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 24

The area bounded by the curve y2 =8x and x2=8y is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

NOTE: Answer is not matching with back answer.

Question 25

The area bounded by the parabola y2=8x, the x-axis, and the latus rectum is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 25

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

NOTE: Answer is not matching with back answer.

Question 26

Area bounded by the curve y=x3, the x-axis and the ordinates x =-2 and x =1 is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 26

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 27

The area bounded by the curve y = x |x| and the ordinates x =-1 and x = 1 is given by

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 27

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 28

Correct option:(b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 29

The area of the circle x2 +y2=16 interior to the parabola y2=6x is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 29

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 30

Smaller area enclosed by the circle x2+y2=4 and the line x + y =2 is

  1. 2(π-2)
  2. π-2
  3. 2π-1
  4. 2(π+2)
Solution 30

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 31

Area lying between the curves y2=4x and y = 2x is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 31

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 32

Area lying in first quadrant and bounded by the circle x2+y2=4 and the lines x =0 and x =2, is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 32

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Question 33

Area of the region bounded by the curve y2=4x ,y-axis and the line y =3, is

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

Solution 33

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Areas Of Bounded Regions

 

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