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MHT CET202411 May 2024Morning ShiftMathematicsApplication of DerivativesActual

If equation of normal to the curve x= t , y= t - 1 t at t =4 is

Options

  1. A8 x+2 y=23
  2. B34 x-8 y=40
  3. C8 x+6 y=37
  4. D8 x+34 y=135

Correct answer

D. 8 x+34 y=135

Step-by-step solution

x= t , y= t - 1 t y=x^2- 1 x , at t =4, x=2 and y= 7 2 d y ~d x =2 x+ 1 x^2 Slope of the normal at t =4 is -1 ( ~d y ~d x )_ t =4 = -4 17 Required equation is (y- 7 2 )= -4 17 (x-2) i.e., 8 x+34 y=135

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