A) \[\frac{3}{5}\]
B) \[\frac{3}{4}\]
C) \[\frac{7}{8}\]
D) \[\frac{5}{6}\]
Correct Answer: B
Solution :
[b] Area of \[\Delta AOB=\frac{1}{2}\times 2a\times {{a}^{2}}={{a}^{3}}\] units Area of region AOB \[=2\int\limits_{0}^{{{a}^{2}}}{xdy=2\int\limits_{0}^{{{a}^{2}}}{\sqrt{y}\,dy=2\left[ \frac{{{y}^{3/2}}}{3/2} \right]_{0}^{{{a}^{2}}}=\frac{4}{3}{{a}^{3}}}}\] units \[\therefore \] ratio of areas \[=\frac{{{a}^{3}}}{\frac{4}{3}{{a}^{3}}}=\frac{3}{4}\]You need to login to perform this action.
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