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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

`x^(6)-12x^(3)-4=0`

B

`x^(6)-6x^(3)+4=0`

C

`x^(6)-12x^(3)+4=0`

D

`x^(6)+6x^(3)-4=0`

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The correct Answer is:
c
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