If the sides `a , b , c` of a triangle `A B C` form successive terms of G.P. with common ratio `r(>1)` then which of the following is correct? (a) `A >pi/3 ' (b) `B≥π/3` '(c) `C<π/3` '(d) `A < B < π/3`

In triangle ABC if a,b,c are sides opposite of angles A, B, C respectivgely, then which of the following is correct ?

The ratio of the sides of a triangle ABC is 1: sqrt3:2. Then the ratio A:B:C is-

If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in G.P., then prove that a^2, b^2,c^2 are in A.P.

The numbers a,b,c are in A.P. and a+b+c=60 . The numbers (a-2) , b , (c+3) are in G.P. Then which of the following is not the possible value of a^(2)+b^(2)+c^(2) ?

If a ,b ,c are in G.P. with common ratio r_1a n dalpha,beta,gamma are in G.P. with common ratio r_2 and equations a x+alphay+z=0,b x+betay+z=0,c x+gammay+z=0 have trivial solution, then which of the following is not true? (a) r_1 != 1 (b) r_2 != 1 (c) r_1 != r_2 (d) None of these

Let A = {a, b, c} and B ={1, 2, 3} be two sets. State with reasons which of the following is a relation form A to B: R={(a, 2),(a, 3),(b, 1),(c, 3),(b, 2)}

A(a, b), B(x_1, y_1) and C(x_2, y_2) are the vertices of a triangle. If a, x_1, x_2 are in GP with common ratio r and b, y_1,y_2 are in GP with common ratio s, then area of triangle ABC is :

In triangle ABC, if (a+b+c)(b+c-a) = 3bc, state which of the following is the value of the angle A?

If a is the smallest side of a triangle and a,b,c are in A.P. prove that "cos" A=(4c-3b)/(2c)

If the middle points of the sides B C ,C A , and A B of triangle A B C are (1,3),(5,7), and (-5,7), respectively, then find the equation of the side A Bdot