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A tangent to the parabola x2 +4ay= 0 cuts the parabola x2= 4by at A and B the locus of the mid point of AB is:(a)(a+2 b) x^{2}=4 b^{2} y \quad(b)(b+2 a) x^{2}=4 b^{2} y$(\mathrm{c})(\mathrm{a}+2 \mathrm{b}) \mathrm{y}^{2}=4 \mathrm{b}^{2} \mathrm{x} \quad$ (d) $(\mathrm{b}+2 \mathrm{x}) \mathrm{x}^{2}=4 \mathrm{a}^{2} \mathrm{y}$

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