If y^2 = ax and x^2 = ay intersect at A ...

If `y^2 = ax` and `x^2 = ay` intersect at A & B. Area bounded by both curves is bisected by line x = b(given `a gt b gt 0`). Area of triangle formed by line AB, x = b and x-axis is `1/2` . Then

A

`a^6-12a^3-4 = 0`

B

`a^6+12a^3-4 = 0`

C

`a^6-12a^3+4 = 0`

D

`a^6+12a^3+4 = 0`

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The correct Answer is:

C

NA

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