If `a ,b ,c` are the sides of a triangle such that `a : b : c=1:sqrt(3):2,` then ratio `A : B : C` is equal to `` 3:2:1 b. 3:1:2 c. 1:2:3 d. 1:3:2

If a ,b ,c are the sides of a triangle such that a : b : c=1:sqrt(3):2, then ratio A : B : C is equal to a.3:2:1 b. 3:1:2 c. 1:2:3 d. 1:3:2

In a triangle , if r_(1) = 2r_(2) = 3r_(3) , then a/b + b/c + c/a is equal to

Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3,tan(B/2)=2/3 .then tan(C/2) is equal to

Let D be the middle point of the side B C of a triangle A B Cdot If the triangle A D C is equilateral, then a^2: b^2: c^2 is equal to 1:4:3 (b) 4:1:3 (c) 4:3:1 (d) 3:4:1

In a triangle ABC, if (sqrt3-1)a = 2b, A = 3B , then /_C is

If a ,b and c are in A.P. and b-a ,c-b and a are in G.P., then a : b : c is (a). 1:2:3 (b). 1:3:5 (c). 2:3:4 (d). 1:2:4

If the angles of a triangle are in the ratio 4:1:1, then the ratio of the longest side to the perimeter is (a) sqrt(3):(2+sqrt(3)) (b) 1:6 (c) 1:2+sqrt(3) (d) 2:3

If a , ba n dc are the side of a triangle, then the minimum value of (2a)/(b+c-a)+(2b)/(c+a-b)+(2c)/(a+b-c)i s (a) 3 (b) 9 (c) 6 (d) 1

If a , b ,c real in G.P., then the roots of the equation a x^2+b x+c=0 are in the ratio a. 1/2(-1+isqrt(3)) b. 1/2(1-isqrt(3)) c 1/2(-1-isqrt(3)) d. 1/2(1+isqrt(3))

Let C be incircle of A B Cdot If the tangents of lengths t_1,t_2 and t_3 are drawn inside the given triangle parallel to sidese a , b and c , respectively, the (t_1)/a+(t_2)/b+(t_3)/c is equal to 0 (b) 1 (c) 2 (d) 3