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MHT CET20228 Aug 2022Morning ShiftMathematicsApplication of DerivativesActual

If x=t^2 and y=2 t are parametric equations of a curve, then equation of the normal to the curve at t=2 is

Options

  1. A2 x+y-12=0
  2. Bx+y-8=0
  3. Cx+2 y-12=0
  4. D2 x+3 y-20=0

Correct answer

A. 2 x+y-12=0

Step-by-step solution

Equation of normal at t aligned & (y-2 t)= - d x ~d t (x-t^2 ) & (y-2 t)= -2 t 2 (x-t^2 ) & (y-4)=-2(x-4)[ for t=2] & 2 x+y-12=0 aligned

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