Lengths of the tangents from A,B and C to the incircle are in A.P., thenA. `r_(1) , r_(2) r_(3)` are in H.PB. `r_(1), r_(2), r_(3)` are in APC. a, b, c are in A.PD. `cos A = (4c -3b)/(2c)`

Lengths of the tangents from A,B and C to the incircle are in A.P., th

1.	Lengths of the tangents from A,B and C to the incircle are in A.P., thenA. `r_(1) , r_(2) r_(3)` are in H.PB. `r_(1), r_(2), r_(3)` are in APC. a, b, c are in A.PD. `cos A = (4c -3b)/(2c)`
Answer» Correct Answer - A::C::D Given that `s -a, s-b, and s-c` are in A.P. `rArr a, b ,c` are in A.P. `rarr (Delta)/(s-a), (Delta)/(s-b),(Delta)/(s-c)` are in H.P `rArr r_(1), r_(2), r_(3)` are in H.P. Also, `cos A = (b^(2) + c^(2) -a^(2))/(2bc)` `= (b^(2) + c^(2) - (2b -c)^(2))/(2bc) = (4c - 3b)/(2c)`

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Lengths of the tangents from A,B and C to the incircle are in A.P., thenA. `r_(1) , r_(2) r_(3)` are in H.PB. `r_(1), r_(2), r_(3)` are in APC. a, b, c are in A.PD. `cos A = (4c -3b)/(2c)`

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