Let f(x,y) = (ax² + by²)/(xy), where a and b are constants. If ∂f/∂x = ∂f/∂y…

GATE · 2018 · EC · Electronics and Communication Engineering

Let f(x,y) = (ax² + by²)/(xy), where a and b are constants. If ∂f/∂x = ∂f/∂y at x = 1 and y = 2, then the relation between a and b is

  1. A.

    a = b/4

  2. B.

    a = b/2

  3. C.

    a = 2b

  4. D.

    a = 4b

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