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Q.

If f:0,  ∞→0,  ∞  satisfy  fxfy=x2yaa∈R  , then the number of solutions of fx=x3  is

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a

2

b

1

c

3

d

4

answer is A.

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Detailed Solution

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 Put  fy=1x f1=1fy2× ya  and  put  y=1∴f1=1
  
Now put y = 1 in the given equation 

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