Find the area of the region lying between the parabolas ` 4 y ^2 = 9 x and 3 x ^ 2 = 16 y`.

Find the area of the region lying between the parabolas. (iii) y^2=x and x^2=y

Find the area of the region lying between the parabolas.(ii) 4y^2=9x and 3x^2=16y.

Find the area of the region between the parabola x = y^2 - 6y and the line x = -y

Find the area of the region included between the parabola y^2 = x and the line x + y = 2.

Find the area of the region between the parabola x=4y-y^2 and the line x=2y-3.

Find the area of the region included between : the parabola x^2 = 4y and the line x = 4y - 2 .

(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.