If y is a function of x given by 2 y- x- (y-1)=0 then the

JEE Advanced Mathematics question

If is a function of given by then the

Answer: (A)

The logarithms require , so . The equation says , i.e.

=x(y-1) -xy+x=0 x=.

*Domain.* is real iff , i.e. or ; with

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Question ID VK-109917