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
Find the area of the region bounded by the Curve y2=x, x-axis and the lines x=1 and x=4. [March-2018]
Consider the following figure: [March-2018]
a. Find the point of intersection ‘p’ of the circle x2+y2 = 50 and the line y = x.
b. Find the area of the shaded region.
The given eqn are
x2+y2 =50 ………. (1)
y = x …………….(2)
(1) ⇒ x2+x2 = 50
2x2 = 50
x2 = 25 , x = 5
x lies on first quadrient, so x=5,y = 5 The point P (5,5).
b. The circle is x2+y2=50
Area of shaded region = Area under line OP + area under are PQ
Area bounded by the curves y = cos x, x = , x = 0, y = 0 is
b. Find the area between the curves y2 = 4ax and x2 = 4ay, a > 0. [March-2017]
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.
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 x2+y2=4 using integration. [March-2016]
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]
a. Find the point at which the circle x2 + y2 = 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]
i. Area of the shaded portion in the figure is equal to ……………
ii. Consider the curves y = x2; 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]
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