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

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

int_0^1 [x^2-x+1]dx , where [x] denotes the integral part of x , is (A) 1 (B) 0 (C) 2 (D) none of these

If three successive terms of a G.P.with common ratio r(r>1) are the lengths of the sides of a triangle and "[r]" denotes the greatest integer less than or equal to "r" ,then 3[r]+[-r] is equal to____________.

int_0^2 x^3[1+cos((pix)/2)]dx , where [x] denotes the integral part of x , is equal to (A) 1/2 (B) 1/4 (C) 0 (D) none of these

Three consecutive terms of a non-constant GP With common ratio r,(rgt1) are the sides of a triangle. Find the value of 3[r]+[-r] where [k] denotes the greatest integer function less than or equal to k.

If three successive terms of G.P from the sides of a triangle then show that common ratio ' r' satisfies the inequality 1/2 (sqrt(5)-1) lt r lt 1/2 (sqrt(5)+1) .

If the sides a, b, c, of a triangle ABC form successive terms of G.P.with common ratio r(gt1) then which of the following is correct ?