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MHT CET202016 Oct 2020Morning ShiftMathematicsApplication of DerivativesActual

The equation of tangent at P (-4,-4) on the curve x²=-4 y is

Options

  1. A2x+y+4=0
  2. B2x-y+4=0
  3. C2x+y-4=0
  4. D3x-y+8=0

Correct answer

B. 2x-y+4=0

Step-by-step solution

(D) We have x²=-4 y 2 x=-4 d y d x d y d x = -x 2 Hence slope of tangent at P(-4,-4) is 2 . Hence required eq. of tangent is y+4=2(x+4) 2 x-y+4=0

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