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Most Important Selected Qs for JEE AdvancedMathematicsParabola

Consider a parabola x^2=4 y and a hyperbola x y=1 . A tangent is drawn to parabola meets the hyperbola in A and B then locus of midpoint of A B is

Options

  1. Astraight line
  2. Bparabola
  3. Cellipse
  4. Dnone of these

Correct answer

B. parabola

Step-by-step solution

Let midpoint is (h, k) then chord is y=- h k x+2 h and if it is a tangent then x^2=4 (- h k x+2 h )D=0 k ^2=- h 2 (Parabola)

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