If `G` is the geometric mean of `xa n dy` then prove that `1/(G^2-x^2)+1/(G^2-y^2)=1/(G^2)`

If G is the geometric mean of x and y then prove that (1)/(G^(2)-x^(2))+(1)/(G^(2)-y^(2))=(1)/(G^(2))

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))

If a is the A.M.of b and c and the two geometric mean are G_(1) and G_(2), then prove that G_(1)^(3)+G_(2)^(3)=2ab

If a is the A.M. of b and c and the two geometric mean are G_1 and G_2, then prove that G_1^3+G_2^3=2a b c

If a is the A.M. of b and c and the two geometric means are G_1 and G_2 , then prove that G1^3+G2^3=2a b c

If G be the GM between x and y, then the value of (1)/(G^(2)-x^(2))+(1)/(G^(2)-y^(2)) is equal to (A)G^(2)(B)(2)/(G^(2))(C)(1)/(G^(2))(D)3G^(2)

If a is the A.M.of b and c and the two geometric means are G_(1) and G_(2), then prove that G_(1)^(3)+G_(2)^(3)=2abc.

If a is the A.M. of b and c and the two geometric means are G_(1) and G_(2) , then prove that G_(1)^(3)+G_(2)^(3)=2abc

If a is the A.M. of b and c and the two geometric means are G_(1) and G_(2) , then prove that G_(1)^(3)+G_(2)^(3) = 2abc