Question

The area included between the parabolas $y^2=4x$ and $x^2=4y$ is

• A. $\frac{8}{3}$ sq unit
• B. $8$ sq unit
• C. $\frac{16}{3}$ sq unit
• D. $12$ sq unit

Answer 1

Answer: (C)

$\frac{16}{3}$ sq unit

We know that, the area of region bounded by the parabolas $y^2=4ax$ and $x^2=4by$ is $\frac{16}{3}ab$ sq.unit.
Therefore, $y^2=4ax$ and $x^2=4y$ is $\frac{16}{3}$ sq.unit.
$(\because a=1,b=1)$