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Two parabolas C and D intersect at two d...

Two parabolas C and D intersect at two different points, where C is `y =x^2-3` and D is `y=kx^2`. The intersection at which the x value is positive is designated Point A, and x=a at this intersection the tangent line l at A to the curve D intersects curve C at point B , other than A. IF x-value of point B is 1, then a equal to

A

`2(a^(3) -3) x - ay + (a^(3) -3a) =0`

B

`2(a^(2) -3) x- ay -a^(3) + 3a = 0`

C

`(a^(3) -3) x - 2ay -2a^(3) + 6a = 0`

D

None of these

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The correct Answer is:
B
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