If `A_1` and `A_2` are two A.M.s between a and b and `G_1` and `G_2` are two G.M.s between the same numbers then what is the value of `(A_1+A_2)/(G_1G_2)`

If A_1 and A_2 are two AMs between a and b then (2A_1 -A_2) (2A_2 - A_1) =

If A_(1),A_(2) are two A.M.'s and G_(1),G_(2) be two G.M.'s between two positive numbers a and b, then (A_(1)+A_(2))/(G_(1)G_(2)) is equal to (i) (a+b)/(ab) (ii) (a+b)/2 (iii) (a+)/(a-b) (iv) 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 A_1,A_2,A_3, A_4 and A_5 are the five A.M.'s between 2 nd 8, then find the value of A_1+A_2+A_3+A_4+A_5

Show that if A and G .are A.M. and G.M. between two positive numbers , then the numbers are A+- sqrt(A^(2) -G^(2))

If A_1,A_2 be two A.M.\'s G_1,G_2 be the two G.M.\'s and H_1,H_2 be the two H.M.\'s between a and b then (A) (A_1+A_2)/(G_1 G_2)=(a+b)/(ab) (B) (H_1+H_2)/(H_1 H_2)=(a+b)/(ab) (C) (G_1G_2)/(H_1 H_2)=(A_1+A_2)/(H_1+H_2) (D) (A_1+A_2)(H_1+H_2)/(H_1 H_2)=(a+b)/(a-b)

If A_1,A_2 be two A.M.\'s G_1,G_2 be the two G.M.\'s and H_1,H_2 be the two H.M.\'s between a and b then (A) (A_1+A_2)/(G_1 G_2)=(a+b)/ab (B) (H_1+H_2)/(H_1 H_2)=(a+b)/ab (C) (G_1G_2)/(H_1 H_2)=(A_1+A_2)/(H_1+H_2) (D) (A_1+A_2)/(H_1 H_2)=(a+b)/(a-b)

If A_1, A_2 be two A.M. and G_1, G_2 be two G.M.s between aa n db then (A_1+A_2)/(G_1G_2) is equal to (a+b)/(2a b) b. (2a b)/(a+b) c. (a+b)/(a b) d. (a+b)/(sqrt(a b))

If a be one A.M and G_1 and G_2 be then geometric means between b and c then G_1^3+G_2^3=

If one A.M., A and two geometric means G_1a n dG_2 inserted between any two positive numbers, show that (G1 ^2)/(G2)+(G2 ^2)/(G_1)=2Adot