If a, b, c are in AP, and a, x, b and b, y, c are in GP then show that `x^(2), b^(2), y^(2)` are in AP.

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

If a, b, c are in GP and a, x, b,y, c ar in AP. then prove that, 1/x + 1/y = 2/b

If a, b, c are in GP and a, x, b, y are in AP Then prove that, a/x + c/y = 2

If the angles A,B,C of /_\ABC are in A.P., and its sides a, b, c are in Gp., show that a^(2) , b^(2), c^(2) are in A.P.

If a, b, c, d are in A.P. and a, b, c, d are in G.P., show that a^(2) - d^(2) = 3(b^(2) - ad) .

If a, b, c are in AP, a, x, b are in GP , where as b, y and c also in GP. Then prove that x^2, b^2, y^2 are in AP.

If a,b,c are in A.P; a,x,b are in G.P.and b,y,c are in G.P.then x^(2),b^(2),y^(2) are in

if a,b,c are in AP and b,c,a are in GP then show that c,a,b are in HP