Assertion (A) : The area bounded by $y^{2} = 8 x$ and $x^{2} = 8 y$ is $\frac{64}{3}$ sq. units.
Reason (R) : The area bounded by $y^{2} = 4 ax$ and $x^{2} = 4 by$ is $\frac{16 ab}{3}$ sq. units.
The correct answer is

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Both (A) and (R) are true and R is the correct explanation of A

Both (A) and (R) are true and R is not the correct explanation of A

(A) is true, (R) is false

(A) false (R) is true

answer is A.

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Detailed Solution

The area bounded by $y^{2} = 4 ax$ and $x^{2} = 4 by$ is $\frac{16 ab}{3}$ sq. units

The area bounded by $y^{2} = 8 x$ and $x^{2} = 8 y$ i

$a = 2, b = 2 \Rightarrow \frac{16 a b}{3} = \frac{64}{3}$

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