Examples: Find the area bounded by the parabola `y^2 = 4ax` and its latus rectum.

Calculate the area bouded by the parabola y^2=4ax and its latus rectum

The point (2a, a) lies inside the region bounded by the parabola x^(2) = 4y and its latus rectum. Then,

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

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

Find the area of the parabola y^(2)=4ax bounded by its latus rectum.

Find by the method of integration the area of the region bounded by the parabola y^2=8x and its latus rectum.

Find the area of the region bounded by the parabola y^(2) = 32x and its Latus rectum in first quadrant .