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MHT CET202016 Oct 2020Evening ShiftMathematicsApplication of DerivativesActual

If x+y= 2 , then the maximum value of x .siny is

Options

  1. A1 2
  2. B-1 2
  3. C-1 2
  4. D1 2

Correct answer

A. 1 2

Step-by-step solution

(C) x+y= 2 y= 2 -x array l x y= x ( 2 -x )= x x= 2 x x 2 = 2 x 2 We know, -1 2 x 1 -1 2 2 x 2 1 2 array So maximum value is 1 2

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