Q23 of 26 Page 1

Using integration find the area of the region

}

}


To find: area of the region


this region will lie in 1st quadrant


x2 + y2 = 2ax


⇒ x2 – 2ax + a2 – a2 + (y – 0)2 = 0


⇒ (x – a)2 + (y – 0)2 = a2


This will form a circle with center (a, 0) and radius is a units


⇒ y2 = a2 – (x – a)2



y2 = ax is a parabola



The shaded area of the region is illustrated below:



Required Area





Formula used:




Therefore,











More from this chapter

All 26 →
21

Prove that is divisible by and hence find the quotient.

OR


Using elementary transformations, find the inverse of the matrix and use it to solve the following system of linear equations:


 22

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3 Also find the maximum volume in terms of volume of the sphere.

OR


Find the intervals in which f (x) = sin3x-cos3x, 0<x< pi is strictly increasing or strictly decreasing.

 24

Find the coordinate of the point P where the line through and crosses the plane passing through three points and Also, find the ratio in which P divides the line segment AB.

25

An urn contains 3 white and 6 red balls. Four balls are drawn one by one with replacement from the urn. Find the probability distribution of the number of red balls drawn. Also, find mean and variance of the distribution.