Which one of the following functions is/...

Which one of the following functions is/are homogenous?

`f(x,y)=(x-y)/(x^(2)+y^(2))`

`f(x,y)=x^((1)/(3))y^(-(2)/(3))tan^(-1)""(x)/(y)`

`f(x,y)=x(logsqrt(x^(2)+y^(2))-log(x)+ye^((x)/(y))`

`f(x,y)=x[log""(2x^(2)+y^(2))/(x)-log(x+y)]+y^(2)tan""(x+2y)/(3x-y)`

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The correct Answer is:

A, B, C

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Which of the following function is even function

`f(x)=(a^x+1)/(a^x-1)`

`f(x)=x((a^x-1)/(a^x+1))`

`f(x)=(a^x -a^(-x))/(a^x + a^(-x))`

f(x) = sin x

`(x-vt)^2`

`In(x-vt)`

`_e-(x-vt)^2`

`1/(x+vt)`

`f(x) =x^(3)sin x`

`f(x) =x^(2) cos x`

`f(x) = x^(2)sin x`

`f(x)=x-[x]` where [x] denotes the greatest integer less than or equal to x