Arithmetic Mean between two positive real numbers a and b is ...........,
(A) `(a+b)/2`,
(B) `(a-b)/2`
(C) `(ab)/2`
(D) none of these.

Geometric Mean between two positive real numbers a and b is .........

Arithmetic Mean and Geometric Mean of two positive real numbers a and b are equal if and only if

If the ratio of A.M.between two positive real numbers a and b to their H.M.is m:n then a:b is equal to

If a,b,c,d are positive numbers such that a,b,c are in A.P. and b,c,d are in H.P., then : (A) ab=cd (B) ac=bd (C) ad=bc (D)none of these

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,b,c and d are different positive real numbers in H.P,then (A)ab>cd(B)ac>bd (D) none of these (C)ad>bc

The arithmetic mean of two positive numbers a and b exceeds their geometric mean by 2 and the harmonic mean is one - fifth of the greater of a and b, such that alpha=a+b and beta=|a-b| , then the value of alpha+beta^(2) is equal to

Let a,b,c be three distinct positive real numbers then number of real roots of ax^2+2b|x|+c=0 is (A) 0 (B) 1 (C) 2 (D) 4