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Area of the region bounded by two parabolas \( y=x^{2} \) and \( x=y^{2} \) is
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Verified Answer
The correct answer is:
\( \frac{1}{3} \)
Given that, $y=x^{2} \rightarrow(1)$
and $x=y^{2} \rightarrow(2)$
we know that area bounded by the region, $y^{2}=4 a x$ and $x^{2}=4 b y$ is given by
$\frac{4 a .4 b}{3}$
So, required area is $\frac{1 \cdot 1}{3}=\frac{1}{3}$
and $x=y^{2} \rightarrow(2)$
we know that area bounded by the region, $y^{2}=4 a x$ and $x^{2}=4 b y$ is given by
$\frac{4 a .4 b}{3}$
So, required area is $\frac{1 \cdot 1}{3}=\frac{1}{3}$
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