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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

C

b

2C

c

3C

d

4C

answer is A.

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Detailed Solution

f(x+y)=f(x)f(y)⇒f(x)=axf(1)=2⇒a=2⇒f(x)=2x⇒a=8, b=10, c=12cos⁡A=34Cos⁡2A=1/8,cos⁡C=1/8∴2A=C
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