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Incircle of AABC touches the sides BC, A...

Incircle of AABC touches the sides BC, AC, and AB at D, E, and F, respectively. Then answer the following questions:
Area of `DeltaDEF` is

A

`2r^(2) sin (2A)sin(2B) sin(2C)`

B

`2r^(2)"cos"(A)/(2)"cos"(B)/(2)"cos"(C)/(2)`

C

`2r^(2)sin(A-B)sin(B-C)sin(C-A)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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