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MHT CET202015 Oct 2020Evening ShiftMathematicsApplication of DerivativesActual

If the tangent to the curve given by x=t²-1 and y=t²-t is parallel to X - axis, then the value of t is

Options

  1. A-1 3
  2. B0
  3. C1 3
  4. D1 2

Correct answer

D. 1 2

Step-by-step solution

We have x=t²-1 and y=t²-t array l dx dt =2 t and dy dt =2 t -1 dy dx = ( dy dt ) ( dx dt ) = 2 t -1 2 t array Since tangent is parallel to X axis, we write 2 t-1 2 t =0 t= 1 2

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