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MHT CET202015 Oct 2020Morning ShiftMathematicsDifferentiationActual

If x+y + y-x =5 , then ( d² y d x² )=

Options

  1. A2 25
  2. B2 5
  3. C-2 5
  4. D-2 25

Correct answer

A. 2 25

Step-by-step solution

(D) Given x+y + y-x =5 y-x =5- x+y On squaring both side, we get y-x=25+x+y-10 x+y 10 x+y -2 x=25 Differentiating w.r.t. x , 10 1 2 x+y (1+ d y d x )-2 1=0 5 x+y (1+ d y d x )=2 1+ d y d x = 2 x+y 5 ....(1) Differentiating w.r.t. x , aligned d² y d x² &= 2 5 1 2 x+y (1+ d y d x )= 1 5 x+y 2 x+y 5 [ From (1) ] &= 2 25 aligned

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