Question

Find Area of region included between parabolas y^2=9x and x^2=9y​

Answer 1

We have, y2 = 9x and y = x

Solving y2 = 9y

⇒ y = 0 or 9

When y = 0,x = 0 and when y = 9, x = 9

So points of intersection are (0,0) and (9,9)

Graph of parabola y2 = 9x and y = x are as shown in the following figure.