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_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 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 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 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,A_2,G_1,G_2 and H_1,H_2 are AM’s, GM’s and HM’s between two numbers, then (A_1+A_2)/(H_1+H_2). (H_1H_2)/(G_1G_2) equals _____

If a is the A.M. between b and c, b the G.M. between a and c, then show that 1/a,1/c,1/b are in A.P.

If A_1, A_2, G_1, G_2, ; a n dH_1, H_2 are two arithmetic, geometric and harmonic means respectively, between two quantities aa n db ,t h e na b is equal to A_1H_2 b. A_2H_1 c. G_1G_2 d. none of these

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