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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Tangents are drawn to y = x from origin then points of contact of these tangents will always lie on :

Options

  1. A1 x^2 = 1 y^2 + 1
  2. B1 x^2 = 1 y^2 - 2
  3. C1 y^2 = 1 x^2 + 1
  4. D1 y^2 = 1 x^2 - 2

Correct answer

C. 1 y^2 = 1 x^2 + 1

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