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

At the points of intersection,x = y2/4 = y/2Or, y2 = 2yi.e., y2 – 2y = 0i.e., y(y – 2) = 0i.e., y = 0, 2So, area A enclosed is –A = = (Ans)

Q31 of 123 Page 22

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

At the points of intersection,

x = y²/4 = y/2

Or, y² = 2y

i.e., y² – 2y = 0

i.e., y(y – 2) = 0

i.e., y = 0, 2

So, area A enclosed is –

A =

(Ans)

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

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

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

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