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Most Important Selected Qs for JEE AdvancedMathematicsHyperbola

If the normals at (x₁, y₁ ) i=1,2,3,4 to the rectangular hyperbola x y=2 meet at the point (3,4) , then

Options

  1. Ax₁+x₂+x₃+x₄=3
  2. By₁+y₂+y₃+y₄=4
  3. Cx₁ x₂ x₃ x₄=-4
  4. Dy₁ y₂ y₃ y₄=4

Correct answer

C. x₁ x₂ x₃ x₄=-4

Step-by-step solution

Any point on x y=2 is P ( 2 t, 2 t ) Normal at P is (y- 2 t )=t^2(x- 2 t)

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