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MHT CET202313 May 2023Morning ShiftMathematicsApplication of DerivativesActual

The slope of the normal to the curve x= t and y= t - 1 t at t =4 is

Options

  1. A-17 4
  2. B4 17
  3. C-4 17
  4. D17 4

Correct answer

C. -4 17

Step-by-step solution

aligned & d y ~d x = d y dt d x dt = 1+ 1 2 t ^ 3 2 1 2 t = 2 t ^ 3 2 +1 t ( d y ~d x )_ t =4 = & 2(4)^ 3 2 +1 4 = 16+1 4 = 17 4 aligned Slope of normal at t =4 is - 1 ( d y ~d x )_ t=4 =- 4 17

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