Consider the function f(x , y) = \{\table{ \frac{\xy}{\x^2+\y^2},},(\x,\y)\neq(0,0);{0,},(\x,\y)=(0,0) Which of the following is not true for this function?

Correct Answer is : f is constant along the line y =. x

f is continuous along the line x = 0

f is constant along the line y =. x

f is continuous along the line y = 0

HCU MCA 2013 Paper

Question : 28 of 75

Marks: +1, -0

Consider the function
f(x , y) =

\{\table{ {\xy}/{\x^2+\y^2},},(\x,\y)≠(0,0);{0,},(\x,\y)=(0,0)

Which of the following is not true for this function?

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