A) \[(8/3)\text{ }a\text{ }sq\text{ }unit\]
B) \[(8/3)\,\sqrt{a}\,sq\,\] unit
C) \[(3/8)\text{ }{{a}^{2}}\text{ }sq\text{ }unit\]
D) \[(8/3)\text{ }{{a}^{3}}sq\text{ }unit\]
E) \[(8/3)\text{ }{{a}^{2}}\text{ }sq\text{ }unit\]
Correct Answer: E
Solution :
Required area\[=2\int_{0}^{a}{2\sqrt{a}}\sqrt{x}dx\] \[=2\times 2\sqrt{a}\left( \frac{{{x}^{3/2}}}{3/2} \right)_{0}^{a}\] \[=\frac{8}{3}{{a}^{2}}\]sq unit
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