Plus Two Maths Chapter Wise Previous Questions Chapter 8 Application of Integrals are part of Plus Two Maths Chapter Wise Previous Year Questions and Answers. Here we have given Plus Two Maths Chapter Wise Previous Chapter 8 Application of Integrals.

## Kerala Plus Two Maths Chapter Wise Previous Questions and Answers Chapter 8 Application of Integrals

Question 1.

Find the area of the region bounded by the Curve y^{2}=x, x-axis and the lines x=1 and x=4. **[March-2018] **Answer:

Question 2.

Consider the following figure:** [March-2018]**

a. Find the point of intersection ‘p’ of the circle x^{2}+y^{2} = 50 and the line y = x.

b. Find the area of the shaded region.

Answer:

The given eqn are

x^{2}+y^{2} =50 ………. (1)

y = x …………….(2)

(1) ⇒ x^{2}+x^{2} = 50

2x^{2} = 50

x^{2} = 25 , x = 5

x lies on first quadrient, so x=5,y = 5 The point P (5,5).

b. The circle is x^{2}+y^{2}=50

Hence

Area of shaded region = Area under line OP + area under are PQ

Question 3.

Area bounded by the curves y = cos x, x = , x = 0, y = 0 is

a.

b.

c. 1

d.

b. Find the area between the curves y^{2} = 4ax and x^{2} = 4ay, a > 0.** [March-2017] **Answer:

**When y = 0, x = 0 and when y = 4a, x = 4a. The points of intersection of (1) and (2) are 0(0, 0) and A(4a, 4a). The area of the region between the two curves = Area of the shaded region.**

Question 4.

a. The area bounded by the curve y = f(x), above the x-axis, between x=a and x=b is

b. Find the area of the circle x^{2}+y^{2}=4 using integration. **[March-2016] **Answer:

Question 5.

Consider the functions: f(x) = |x|-1 and g(x) = 1- |x|

a. Sketch their graphs and shade the closed region between them.

b. Find the area of their shaded region **[March-2015] **Answer:

a.

Question 6.** **a. Find the point at which the circle x

^{2}+ y

^{2}= 32 intersects the positive x-axis.

b. Shade the region in the first quadrant enclosed by x-axis, the line y = x and the circle x + y2 = 32.

c. Find the area of the shaded region

**[March – 2013]**

Answer:

Question 7.

i. Area of the shaded portion in the figure is equal to ……………

ii. Consider the curves y = x^{2}; x = 0; x = 1; y = 4. Draw a rough sketch of the region bounded by these curves. Find the area of shaded region. ** [June-2012] **Answer:

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