If a,b,c are in A.P., and x,y,z are in G.P., prove that `x^(b-c)y^(c-a) z^(a-b) = 1`

If a,b,c are in A.P. and x,y,z are in G.P., then show that x^(b-c).y(c-a).z(a-b)=1 .

If a,b,c are in A.P. then :

If p, q, r are in A.P. while x, y, z are in G.P., prove that x^(q-r).y^(r-p).z^(p-q) =1 .

If a,b,c and in A.P, then x^a,x^b,x^c are in:

If a, b, c are in A.P., then prove that : (a-c)^2 =4(b^2 -ac) .

If a, b, c are in A.P. then 3^a, 3^b, 3^c are in:

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.

If a, b, c are in A.P, b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a, c, e are in G.P.

If a^x=b^y=c^z and a, b, c are in G.P. then x,y,z are in :

If x, 1, z are in AP and x, 2, z are in GP, then x, 4, z will be in (a) AP (b) GP (c) HP (d) None Of These