If A and G are respectively arithmetic and geometric mean between positive no. a and b ; then `A > G`

If A and G are respectively arithmetic and geemetric mean between positive no.a and b; then A>G

If A and G are respectively arithmetic and geometric mean between positive no. a and b ; then the quadratic equation having a,b as its roots is x^2-2Ax+G^2=0.

If A and G are respectively arithmetic and geometric mean between positive no. a and b ; then the quadratic equation having a,b as its roots is x^2-2Ax+G^2=0 .

If A and G are respectively arithmetic and geometric mean between positive no. a and b ; then the quadratic equation having a,b as its roots is x^2-2Ax+G^2=0 .

If A, g and H are respectively arithmetic , geometric and harmomic means between a and b both being unequal and positive, then A = (a + b)/(2) rArr a + b = 2A G = sqrt(ab) rArr G^(2) = ab H = (2ab)/(a+ b ) rArr G^(2) = AH On the basis of above information answer the following questions . If the geometric mean and harmonic means of two number are 16 and 12(4)/(5) , then the ratio of one number to the other is

If A, g and H are respectively arithmetic , geometric and harmomic means between a and b both being unequal and positive, then A = (a + b)/(2) rArr a + b = 2A G = sqrt(ab) rArr G^(2) = ab H = (2ab)/(a+ b ) rArr G^(2) = AH On the basis of above information answer the following questions . If the geometric mean and harmonic means of two number are 16 and 12(4)/(5) , then the ratio of one number to the other 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

Let A;G;H be the arithmetic; geometric and harmonic means of two positive no.a and b then A>=G>=H

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 A and G are the arithmetic and geometric means respectively of two numbers then prove that the numbers are (A+sqrt(A^(2)-G^(2)))and(A-sqrt(A^(2)-G^(2)))