Let f (x,y) = {ax^{2} + by^{2}}/{xy}, where a and b are constants. If \frac{\partialf}{\partialx} = \frac{\partialf}{\partialy}\: at x = 1 and y = 2, then the relation between a and b is

GATE Electronics and Communications (EC) 2018 Solved Paper

Question : 22 of 65

Marks: +1, -0

Let

f (x,y) = \;{ax^{2}\;+\;by^{2}}/{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

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