Geometric Mean between two positive real numbers `a` and `b` is `.........`

Arithmetic Mean between two positive real numbers a and b is ..........., (A) (a+b)/2 , (B) (a-b)/2 (C) (ab)/2 (D) none of these.

If g_(1) , g_(2) , g_(3) are three geometric means between two positive numbers a and b , then g_(1) g_(3) is equal to

If G_(1) . G_(2) , g_(3) are three geometric means between two positive numbers a and b , then g_(1) g_(3) is equal to

In a triangle ABC,if a is the arithemetic mean and b,c (b ne c) are the two geometric means between any two positive real number then (sin^3 B +sin^3 C)/( sin A sin b sin C) =

Arithmetic Mean and Geometric Mean of two positive real numbers a and b are equal if and only if

If G is the geometric mean between two distinct positive numbers a and b, then show that 1/(G-a)+1/(G-b)=1/G

If G is the geometric mean between two distinct positive numbers a and b, then show that 1/(G-a)+1/(G-b)=1/G .

If the arithmetic geometric and harmonic menas between two positive real numbers be A, G and H, then