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Which one of the following functions is ...

Which one of the following functions is not homogeneous ?

A

(a) `f(x,y)=x[log` `sqrt(x^2+y^2)` `-log y] +` `ye^(x/y)`

B

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

C

(c) `f(x,y)=x[log sqrt(x^2+y^2)-log y ] + ye^(y/x)`

D

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

Text Solution

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The correct Answer is:
D
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