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Q.

 Let f(x+y)=f(x)f(y) for all x and y and f(1)=2 . If in a triangle ABC,a=f(3) , b = f(1) + f(3), c = f(2) + f(3) then 2A is equal to 

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a

2C

b

4C

c

C

d

3C

answer is A.

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Detailed Solution

f(x+y)=f(x)f(y)f(x)=axf(1)=2a=2f(x)=2xa=8, b=10, c=12cosA=34Cos2A=1/8,cosC=1/82A=C

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 Let f(x+y)=f(x)f(y) for all x and y and f(1)=2 . If in a triangle ABC,a=f(3) , b = f(1) + f(3), c = f(2) + f(3) then 2A is equal to