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`

Sides of triangle ABC, a, b, c are in G.P. If 'r' be the common ratio of this G.P. , then

Three successive terms of a G.P. will form the sides of a triangle if the common ratio r satisfies the inequality

If three successive terms of as G.P. with commonratio rgt1 form the sides of a triangle and [r] denotes the integral part of x the [r]+[-r]= (A) 0 (B) 1 (C) -1 (D) none of these

If three successive terms of as G.P. with commonratio rgt1 form the sides of a triangle and [r] denotes the integral part of x the [r]+[-r]= (A) 0 (B) 1 (C) -1 (D) none of these

If a, b, c form a G.P. with common ratio r such that 0 < r < 1, and if a,3/2b ,-4c form an AP, then r is equal to

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.

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 mid points of the sides of a triangle A B C along with any of the vertices as the fourth point make a parallelogram of area equal to: a r\ ( A B C) (b) 1/2a r\ ( A B C) 1/3a r\ ( A B C) (d) 1/4\ a r\ ( A B C)

In a triangle ABC , the sides a , b , c are in G.P., then the maximum value of angleB is

If a,b and c are sides of a ritht triangle where c is the hypotenuse, prove that the radius of the circle which touches the sides of the triangle is r = (a + b-c)/(2).