Find the area common to two parabolas x^...

Find the area common to two parabolas `x^2=4ay` and `y^2=4ax,` using integration.

A

`(8a^(3))/(3)`

B

`(16a^(2))/(3)`

C

`(32a^(2))/(3)`

D

`(64a^(2))/(3)`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Find the area bounded by the parabola y^(2)=4ax and the line y=2ax

Find the area bounded by the parabola x =4 -y ^(2) and y -axis.

Draw a rough sketch and find the area of the region bounded by the parabolas y^(2)=4x and x^(2)=4y, using the method of integration.

Find the area of the parabola y^(2)=4ax and the latusrectum.

Equation of tangent to parabola x^(2)=4ay

Find the equation of the circle described on the line segment joining the foci of the parabolas x^2 - 4ay and y^2 = 4a(x-a) as diameter.

Find the area enclosed between the parabola y^(2)=4ax and the line y=mx