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 only zero solution, then which of the following is not true? a.`a+b+c` b. `a b c` c.`1` d. none of these

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 only zero solution, then which of the following is not true? a+b+c b. a b c c. 1 d. none of these

If a,b,c are in G.P.with common ratio r_(1) and alpha,beta,gamma are in G.P.with common ratio r_(2) and equations ax+alpha y+z=0,bx+beta y+z=0,cx+gamma y+z=0 have only zero solution,then which of the following is not true? a.a+b+c b.abc c.1 d.none of these

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

If a,b,c are in G.P. with common ratio r_(1) and alpha , beta, gamma are in G.P. with common ratio r_(2) , and equations ax + alpha y + z = 0, bx + beta y + z = 0, cx + gamma y + z = 0 have only zero 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

If a,b,c form a G.P.with common ratio r such that 0

If a,b,c are in AP and A,B,C are in G.P. (Common ratio !=1 ). Then which of the following is/are correct

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

Suppose that a,b,c,d are in G.P with common ratio r Prove that (b+c)(b+d)=(c+a)(c+d)