Question

Area lying between the curve y² = 4x and y = 2x is

A. 2/3

B. 1/3

C. 1/4

D. 3/4

Answer 1

The area lying between the curve, y² = 4x and y = 2x, is represented by the shaded area OBAO as

The points of intersection of these curves are O (0, 0) and A (1, 2).

We draw AC perpendicular to x-axis such that the coordinates of C are (1, 0).

∴ Area OBAO = Area (OCABO) – Area (ΔOCA)