Prove that the curves y 2 = 4x and x 2 = 4y divide the area of the square bounded by x = 0, x = 4, y = 4 and y = 0 into three equal parts.

Question

Philoid · Accepted Answer

Formula: -

(i)

(ii)+c

Area of region

Area of region GOG

Area of region GOH =

Prove that the curves y2 = 4x and x2 = 4y divide the area of the square bounded by x = 0, x = 4, y = 4 and y = 0 into three equal parts.