Find the ratio in which the area bounded by the curves `y^2=12 xa n dx^2=12 y` is divided by the line `x=3.`

Find the ratio in which the area bounded by the curves y^(2)=12x and x^(2)=12y is divided by the line x=3.

(a) Draw the rough sketch and find the area of the region included between the parabolas : (i) y ^(2) = 4x and x ^(2) = 4y (ii) y ^(2) = 9x and x ^(2) - 9y (iii) y ^(2) = 16x and x ^(2) = 16y. (b) Find the ratio in which the area bounded by the curves y ^(2) = 12x and x ^(2) = 12y is divided by the line x =3.

The ratio in which the area bounded by the curves y^(2)=x and x^(2)=y is divided by the line x=(1)/(2) is

Find the area bounded by the curves y=x and y=x^(3)

Find the area bounded by the curve 4y^(2)=9x and 3x^(2)=16y

Find the area bounded by the curves y=x and y=x^(^^)3

The area bounded by the curve y^(2)=8x and the line x=2 is

The area bounded by the curves y^(2)=x^(3) and |y|=2x