If the area bounded by the curves $y^{2} = 4 ax$ and y = mx is $\frac{a^{2}}{3}$ then m =

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1/2

answer is B.

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Detailed Solution

$Area bounded by y^{2} = 4 a x and y = m x; a > 0, m > 0 is A = \frac{8 a^{2}}{3 m^{3}}$

$\frac{8 a^{2}}{3 m^{3}} = \frac{a^{2}}{3} \Rightarrow m^{3} = 8$

$m = 2$

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