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JEE Main 2007

Exam: JEE Main
Year: 2007
Subject: Mathematics
Chapter: Area Under Curves

JEE Main 2007 · Mathematics · Area Under Curves

The area enclosed between the curves y^2=x and y=|x| is

The area enclosed between the curves

y^2=x

and

y=|x|

is

The area enclosed between the curves y^2=x and y=|x| is

Options

A $2 / 3$
B $1$
C $1 / 6$
D $1 / 3$

Correct answer

C. $1 / 6$

Step-by-step solution

A=\int_0^1(\sqrt{x}-x) d x =

\left[\frac{2}{3} x^{3 / 2}-\frac{x^2}{2}\right]_0^1

=\frac{2}{3}-\frac{1}{2}=\frac{1}{6}

.

The area enclosed between the curves y^2=x and y=|x| is

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