Let `l_(1), l_(2), l_(3)` be the lengths of the internal bisectors of angles A,B,C respectively of a `Delta ABC`
Statement -1 : `(cos. A/2)/l_(1) + (cos. B/2)/l_(2) + (cos. C/2)/l_(3) = 2 (1/a + 1/b + 1/c)`
Statement-2 : `l_(1)^(2) = bc[1 -(a/(b+c))^(2)] ,l_(2)^(2)=ca[1 -(b/(c+a))^(2)], l_(3)^(2) = ab [1 - (c/(a+b))^(2)]`

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True, Statement-2 is True, Statement-2 NOT a correct explanation for Statement - 1.
C. Statement-1 is True, Statement-2 is False
D. Statement -1 is False, Statement-2 is True.

Answer

D