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Parabola `y^2=4a(x-c_1) and x^2=4a(y-c_2)` where `c_1 and c_2` are variables, touch each other. Locus of their point of contact isA. `xy=2a^(2)`B. `xy=4a^(2)`C. `xy=a^(2)`D. none of these |
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Answer» Correct Answer - B (2) Let P(x,y) be the point of contact. At P, both of them must have the same slope. We have `2y(dy)/(dx)=4a,2x=4a(dy)/(dx)` Eliminating `dy//dx`, we get `xy=4a^(2)`. |
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