A) \[\frac{35\,{{a}^{2}}}{3}\]
B) \[\frac{4\,{{a}^{2}}}{3}\]
C) \[\frac{7\,{{a}^{2}}}{3}\]
D) \[\frac{56\,{{a}^{2}}}{3}\]
Correct Answer: D
Solution :
Required area = Area of curve PSMNRQP = 2 Area of curve PSRQP \[=2\int_{a}^{4a}{\sqrt{4ax}\,dx}\] \[=4\sqrt{a}\left[ \frac{{{x}^{3/2}}}{3/2} \right]_{a}^{4a}=\frac{8}{3}\sqrt{a}\left[ {{(4a)}^{3/2}}-{{a}^{3/2}} \right]\] \[=\frac{8}{3}\sqrt{a}\left( 8{{a}^{3/2}}-{{a}^{3/2}} \right)=\frac{56}{3}{{a}^{2}}\]You need to login to perform this action.
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