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Most Important Selected Qs for JEE AdvancedMathematicsHyperbola

Equation of common tangent(s) of x^2-y^2=12 and x y=8 is (are) -

Options

  1. Ay=3 x+4 6
  2. By=-3 x+4 6
  3. C3 y=x+4 6
  4. Dy=-3 x-4 6

Correct answer

D. y=-3 x-4 6

Step-by-step solution

Let the common tangent is aligned & y=m x 12 m^2-12 solving it with & x y=8 mx ^2 12 ( ~m ^2-1 ) x -8=0 & D =0 12 ( ~m ^2-1 )+32 ~m =0 & 3 ~m ^2+8 ~m -3=0 ~m =-3, 1 3 & y =-3 x 4 6 ~m = 1 3 rejected aligned

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