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Let F : R to R be such that f is i...

Let `F : R to R ` be such that f is injective and `f(x) f(y) =f(x+y)` for all x,y `in RR ` If ` f(x) , f(y) , f(z)` are in G.P ., then x,y,z are in -

A

A.P always

B

G.P always

C

A.P depending on the values of `x,y,z`

D

G.P depending on the values of ` x,y,z`

Text Solution

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The correct Answer is:
A
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