If `G_1` and `G_2` are two geometric means and A is the arithmetic mean inserted two numbers, then the value of `(G_1^2)/G_2+(G_2^2)/G_1` is:

If G_1 and G_2 are two geometric means and A the asrithmetic mean inserted between two numbers, then the value of G_1^2/G_2+G_2^2/G_1 is (A) A/2 (B) A (C) 2A (D) none of these

If G_(1) and G_(2) are two geometric means and A is the arithmetic mean inserted two numbers,G_(1)^(2) then the value of (G_(1)^(2))/(G_(2))+(G_(2)^(2))/(G_(1)) is:

If one geometric mean G and two arithmetic means p,q be inserted between two given numbers,then prove that,G^(2)=(2p-q)(2q-p)

G is the geometric mean and p and q are two arithmetic means between two numbers a and b, prove that : G^(2)=(2p-q)(2q-p)

Find the value of g'=g(1-(2)/(291))^(1//2)

If one A.M.A and tow geometric means G_(1) and G_(2) inserted between any two positive numbers,show that (G_(1)^(1))/(G_(2))+(G_(2)^(2))/(G_(1))=2A