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If f(x+y)=f(x)f(y),forall x,y,inR and f(...

If f(x+y)=f(x)f(y),forall `x,y,inR` and f(1)=2, then area enclosed by `3|x|+2|y|le8` is

A

f(4) sq. unit

B

`(1//2)f` (6) sq unit

C

1/3 f (6) sq unit

D

1/3 f (5) sq unit

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The correct Answer is:
C
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