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

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

If a, b, c are distinct real numbers such that a, b, c are in A.P. and a^2, b^2, c^2 are in H. P , then

If a,b,c are in A.P. and a^2,b^2,c^2 are in H.P. then which of the following could and true (A) -a/2, b, c are in G.P. (B) a=b=c (C) a^3,b^3,c^3 are in G.P. (D) none of these

If l n(a+c),l n(a-c) and l 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) a ,b ,c are in H.P.

If three positive numbers a, b, c are in A.P. and 1/a^2,1/b^2,1/c^2 also in A.P. then

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 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 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.