If for all x, y the function f is defined by f(x) + f(y) + f(x) f(y) = 1 and f(x)>0 then

JEE Advanced Mathematics question

If for all the function is defined by

f(x) + f(y) + f(x)· f(y) = 1 and f(x)>0

then

Answer: (B)

Put : (the root is rejected since ). So

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Question ID VK-109232