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 >pi/3` (b) `Bgeqpi/3` (d) `A

If a_1, a_2, a_3(a_1>0) are three successive terms of a G.P. with common ratio r , for which a_3>4a_2-3a_1 holds is given by

Write the first three terms of the G.P. whose first term and the common ratio are given below. a=6, r=3

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 sides of a triangle are in G.P., and its largest angle is twice the smallest, then the common ratio r satisfies the inequality 0

The radii r_1, r_2,r_3 of the escribed circles of the triangle A B C are in H.P. If the area of the triangle is 24 c m^2a n d its perimeter is 24cm, then the length of its largest side is 10 (b) 9 (c) 8 (d) none of these

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) ?

In a triangle with sides a,b,c,r_1 gt r_2 gt r_3 ( which are the ex - radii ) then

In triangle A B C , let /_c=pi/2dot If r is the inradius and R is circumradius of the triangle, then 2(r+R) is equal to a+b (b) b+c c+a (d) a+b+c

If a, b, c are three consecutive terms of an A.P. and x, y, z are three consecutive terms of a G.P. then prove that x^(b-c)timesy^(c-a)timesz^(a-b)=1