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 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 . The sum of AM and GM of two positive numbers equal to the difference between the numbers . the numbers are in the ratio .

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 . The numbers whose A.M. and G.M. are A and G 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) 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 A,G and H are the arithmetic mean, geometric mean and harmonic mean between unequal positive integers.Then,the equation Ax^(2)-IGlx-H=0 has (a) both roots are fractions (b) atleast one root which is negatuve fraction ( c) exactly one positive root (d) atleast one root which is an integer

If A, G and H are the arithmetic, geometric and harmonic means between a and b respectively, then which one of the following relations is correct?

If a, b and c are in G.P and x and y, respectively , be arithmetic means between a,b and b,c then