Suppose a,b,c are in A.P and `a^2,b^2,c^2` are in G.P If `a

If a,b,c are in A.P and a^(2),b^(2),c^(2) are in H.P. then

Suppose a ,b, and c are in A.P. and a^2, b^2 and c^2 are in G.P. If a

If a,b,c are in A.P and a^2,b^2,c^2 are in H.P then which is of the following is /are possible ?

If l n(a+c),l n(a-c)a n dl n(a-2b+c) are in A.P., then (a) a ,b ,c are in A.P. (b) a^2,b^2, c^2, are in A.P. (c) a ,b ,c are in G.P. d. (d) a ,b ,c are in H.P.

Suppose a,b,c are distinct positive real numbers such that a,2b,3c are in A.P. and a,b,c are in G.P. The common ratio of G.P. is

If 1/a,1/b,1/c are in A.P and a,b -2c, are in G.P where a,b,c are non-zero then

If a,b,c are in A.P.and a^(2),b^(2),c^(2) are in H.P. then prove that either a^(2),b^(2),c^(2) are in H.P.a=b=c or a,b,-(c)/(2) form a G.P.

Suppose a,b,c are in A.P if p,q,r are also in A.P., then value of Delta=|(x^(2)+a,x+p,c),(x^(2)+b,x+q,b),(x^(2)+c,x+r,a)| is dependent on

If log_(a)x , log_(b)x and log_(c)x are in HP which one of the following is true? (1) (a)/(b+c),(b)/(c+a),(c)/(a+b) are in A.P. (2) b+c, c+a, a+b are in H.P. (3) a ,b ,c are in G.P. (4) a^(2),b^(2),c^(2) are in A.P.

If a, b, c are in A.P. and a, x, b, y, c are in G.P., then prove that b^(2) is the arithmatic mean of x^(2)" and "y^(2).