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 a,b,c form a GP with common ratio r, the sum of the ordinates of the points of intersection of the line ax+by+c=0 and the curve x+2y^2=0 is

If a,b,c form a GP with common ratio r, the sum of the ordinates of the points of intersection of the line ax+by+c=0 and the curve x+2y^2=0 is

if a,b,c form a GP with common with ratio r, the sum of the ordinates of the points of intersection of the lines ax+by+c=0 and the curve x+2y^(2)=0 is

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 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?

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

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_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_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