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Consider a hyperbola `(y^(2))/(4)-(x^(2))/(4) = alpha`, If the common tangent of the hyoerbola and parabola meets the coordinates axes at `x` and `A` and `B`, then locus of mid point of `AB` isA. `x^(2) = -2y`B. `2x^(2) = -y`C. `x^(2) = - 4y`D. `(x^(2))/(2) - (y^(2))/(1) = -1` |
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Answer» Correct Answer - B Equation of the common tangent is `y = tx - t^(2)` `:.` mid point of `AB` is `((l)/(2),(t^(2))/(2))` `:.` the locus is `y = -2x^(2)` |
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