A) \[(8/3)a\,\,sq\,\,unit\]
B) \[(8/3)\sqrt{a}\,\,sq\,\,unit\]
C) \[(3/8)\sqrt{a}\,\,sq\,\,unit\]
D) \[(8/3){{a}^{2}}\,\,sq\,\,unit\]
Correct Answer: D
Solution :
\[\therefore \]Required area\[=2\int_{0}^{a}{y}\,dx\] \[=2\int_{0}^{a}{2\sqrt{a}\sqrt{x}dx}\] \[=4\sqrt{a}\left[ \frac{{{x}^{3/2}}}{3/2} \right]_{0}^{a}\] \[=\frac{8}{3}{{a}^{2}}\,\,ssq\,\,unit\]You need to login to perform this action.
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