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Q.

If the area included between the two parabolas $y^{2} = 4 a (x + a)$ and $y^{2} = 4 b (b - x)$ is $\frac{16}{3}$ . Then the product of A.M and G.M of a and b is _____

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Detailed Solution

$\frac{8}{3} \sqrt{a b} (a + b) = \frac{16}{3}$

$\sqrt{a b} (\frac{a + b}{2}) = 1$

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If the area included between the two parabolas y2=4ax+a and y2=4bb−x is 163. Then the product of A.M and G.M of a and b is _____