Two harmonic means between `1/2,4/17` are

If three are four harmonic means between 1/12, 1/42, then the third harmonic mean is

If H_(1) , H_(2) are two harmonic means between two positive numbers a and b , (a != b) , A and G are the arithmetic and geometric means between a and b , then (H_(2) + H_(1))/(H_(2) H_(1)) is

If H_(1),H_(2) are two harmonic means between two positive numbers a and b (aneb) , A and G are the arithmetic and geometric means between a and b, then (H_(2)+H_(1))/(H_(2)H_(1)) is

If H_(1) and H_(2) are two harmonic means between two positive numbers a and b (a != b) , A and G are the arithmetic and geometric menas between a and b , then (H_(2)+H_(1))/(H_(2)H_(1)) is

If H_(1) and H_(2) are two harmonic means between two positive numbers a and b (a != b) , A and G are the arithmetic and geometric menas between a and b , then (H_(2)+H_(1))/(H_(2)H_(1)) is

Let two circles having radii r_(1) and r_(2) are orthogonal to each other. If the length of their common chord is k times the square root of harmonic mean between the squares of their radii, then k^(4) is equal to

Let two circles having radii r_(1) and r_(2) are orthogonal to each other. If the length of their common chord is k times the square root of harmonic mean between the squares of their radii, then k^(4) is equal to

Find the 5th harmonic mean when n harmonic means are inserted between 1 and 2.

If p is the first of the n arithmetic means between two numbers and q be the first on n harmonic means between the same numbers. Then,show that q does not lie between p and ((n+1)/(n-1))^(2)p

If p is the first of the n arithmetic means between two numbers and q be the first on n harmonic means between the same numbers. Then, show that q does not lie between p and ((n+1)/(n-1))^2 p.