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MHT CET2017MathematicsDifferentiation

If x = a t - 1 t , y = a t + 1 t where t be the parameter then d y d x = ?

Options

  1. Ay x
  2. B- x y
  3. Cx y
  4. D- y x

Correct answer

C. x y

Step-by-step solution

x = a t - 1 t , y = a t + 1 t y 2 - x 2 = a 2 t + 1 t 2 - t - 1 t 2 y 2 - x 2 = 4 a 2 Differentiate w.r.t. x 2 y d y d x - 2 x = 0 ∴ d y d x = x y

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