If in triangle `A B C ,sumsinA/2=6/5a n dsumI I_1=9` (where `I_1,I_2a n dI_3` are excenters and `I` is incenter, then circumradius `R` is equal to `(15)/8` (b) `(15)/4` (c) `(15)/2` (d) `4/(12)`

If in triangle A B C ,sumsin(A/2)=6/5a n dsumI I_1=9 (where I_1,I_2 a n d I_3 are excenters and I is incenter, then circumradius R is equal to (15)/8 (b) (15)/4 (c) (15)/2 (d) 4/(12)

If in triangle A B C ,sumsin(A/2)=6/5a n dsumI I_1=9 (where I_1,I_2 a n d I_3 are excenters and I is incenter, then circumradius R is equal to (15)/8 (b) (15)/4 (c) (15)/2 (d) 4/(12)

If in triangle ABC,sum sin(A)/(2)=(6)/(5) and sum II_(1)=9 (where I_(1),I_(2) and I_(3) are excenters and I is incenter, then circumradius R is equal to (15)/(8) (b) (15)/(4) (c) (15)/(2) (d) (4)/(12)

In triangle A B C ,l e tR=c i r c u m r a d i u s ,r= i n r a d i u sdot If r is the distance between the circumcenter and the incenter, the ratio R/r is equal to (a) sqrt(2)-1 (b) sqrt(3)-1 (c) sqrt(2)+1 (d) sqrt(3)+1

In triangle A B C ,l e tR=c i r c u m r a d i u s ,r= i n r a d i u sdot If r is the distance between the circumcenter and the incenter, the ratio R/r is equal to (a) sqrt(2)-1 (b) sqrt(3)-1 (c) sqrt(2)+1 (d) sqrt(3)+1

A B C is an equilateral triangle of side 4c mdot If R , r, a n d,h are the circumradius, inradius, and altitude, respectively, then (R+r)/h is equal to (a) 4 (b) 2 (c) 1 (d) 3

A B C is an equilateral triangle of side 4c mdot If R , r, a n d,h are the circumradius, inradius, and altitude, respectively, then (R+r)/h is equal to (a) 4 (b) 2 (c) 1 (d) 3

If I_(n)=int_(0)^((pi)/(4))tan^(n)xdx, where n is a positive integer,then I_(10)+I_(8) is equal to (A)(1)/(9)(B)(1)/(8) (C) (1)/(7)(D)9

Given that Delta = 6, r_(1) = 2,r_(2)= 3, r_(3) = 6 Circumradius R is equal to a) 2.5 b)3.5 c)1.5 d)none of these

For triangle ABC,R=5/2 and r=1. Let I be the incenter of the triangle and D,E and F be the feet of the perpendiculars from I->BC,CA and AB, respectively. The value of (ID*IE*IF)/(IA*IB*IC) is equal to (a) 5/2 (b) 5/4 (c) 1/10 (d) 1/5