Comprehension - The internal bisectors of the angle of \( \triangle A B C \) meet the sides \( B...

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Comprehension - The internal bisectors of the angle of \( \triangle A B C \) meet the sides \( B C, C A \) and \( A B \) at \( D, E \) and \( F \) respectively. Then
On the basis of above passage, answer the following questions :
Area of \( \triangle D B F \) is given by
(a) \( \frac{a c \sin B}{2(a+b)} \)
(b) \( \frac{\Delta a c}{(a+b)(b+c)} \)
(c) \( \frac{a c \sin B}{(a+b)(b+c)} \)
(d) \( \frac{a b \sin C}{(a+b)} \)
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