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MHT CET202015 Oct 2020Morning ShiftMathematicsApplication of DerivativesActual

If line x+y=0 touches the curve a x²=2 y²-b at (1,-1) , then the values of a and b are respectively

Options

  1. A0,2
  2. B-2,0
  3. C0,-2
  4. D2,0

Correct answer

D. 2,0

Step-by-step solution

array l a x²=2 y²-b a 2 x=4 y d y d x -0 a x=2 y d y d x d y d x = a x 2 y array At (1,-1) slope of tangent = d y d x = -a 2 and slope of x+y=0 is -1 As per condition given, -a 2 =-1 a=2 Substituting x=1, y=-1, a=2 in the given equation of curve, we get 2=2-b b=0

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