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 inserted between any two numbers and A is the arithmetic mean of two numbers, then the value of (G_1^2)/G_2+(G_2^2)/G_1 is:

If G_1 ,G_2 are geometric means , and A is the arithmetic mean between two positive no. then show that G_1^2/G_2+G_2^2/G_1=2A .

If a is the arithmetic mean and g is the geometric mean of two numbers, then

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)

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) .

If A is the arithmatic mean and G_(1) and G_(2) be two geometric means between any two numbers then prove that, (G_(1)^(2))/(G_(2)) + (G_(2)^(2))/(G_(1))=2A

If A is the arithmetic mean and G_(1), G_(2) be two geometric mean between any two numbers, then prove that 2A = (G_(1)^(2))/(G_(2)) + (G_(2)^(2))/(G_(1))