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Area Lying Between the Curve Y2 = 4x And Y = 2x Is - Mathematics

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

A. 2/3

B. 1/3

C. 1/4

D. 3/4

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Solution

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)  

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APPEARS IN

NCERT Class 12 Maths
Chapter 8 Application of Integrals
Q 7 | Page 372
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