Parabola y^2=4a(x-c1) and x^2=4a(y-c2) ,...

Parabola `y^2=4a(x-c_1)` and `x^2=4a(y-c_2)` , where `c_1a n dc_2` are variable, are such that they touch each other. The locus of their point of contact is (a)`x y=2a^2` (b) `x y=4a^2` (c)`x y=a^2` (d) none of these

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