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Let there be two parabolas y^2=4a x and ...

Let there be two parabolas `y^2=4a x` and `y^2=-4b x` (where `a!=ba n da ,b >0)` . Then find the locus of the middle points of the intercepts between the parabolas made on the lines parallel to the common axis.

A

`y^(2)=(8ab)/(b-a)x`

B

`x^(2)=(8ab)/(b-a)y`

C

`y^(2)=(4ab)/(a-b)x`

D

none of these

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