Question

The area bounded by the parabola $y^2=x$, straight line y = 4 and y axis is-

• A. $\frac{64}{3}$
• B. $\frac{16}{3}$
• C. $\frac{7}{\sqrt{2}}$
• D. None of these

Answer 1

The correct option is C $\frac{7}{\sqrt{2}}$

$\begin{array}{cc}\text{Given:}& y^2=x\\ & y=4\\ A& ={\int }_0^{4}xdy\end{array}$

$={\int }_0^4{y}^{2}dy={\left[\frac{y^3}{3}\right]}_0^4$

$=\frac{64-}{3}\frac{0}{3}=\frac{64}{3}$ squnits.

Correct Option is (A).