If `g_(1), g_(2), g_(3)` are three geometric means between two positive numbers a,b then `g_(1) g_(3)` =

If g_(1) , g_(2) , g_(3) are three geometric means between two positive numbers a and b , then g_(1) g_(3) is equal to

If G_(1) . G_(2) , g_(3) are three geometric means between two positive numbers a and b , then g_(1) g_(3) is equal to

G_(1),G_(2),G_(3),G_(4) are the geometric means between positive numbers a and b then the quadratic equation (G_(1)+G_(3))G_(2)G_(3)x^(2)-G_(2)x-(G_(1)+G_(3))G_(1)G_(4)=0 has roots which are

If A_(1),A_(2),A_(3);G_(1),G_(2),G_(3); and H_(1),H_(2),H_(3) are the three arithmetic,geometric and harmonic means between two positive numbers a and b(a>b), then which of the following is (are) true?

If A_(1) , A_(2) , A_(3) , G_(1) , G_(2) , G_(3) , and H_(1) , H_(2) , H_(3) are the three arithmetic, geometric and harmonic means between two positive numbers a and b(a gt b) , then which of the following is/are true ?

If A_(1) , A_(2) , A_(3) , G_(1) , G_(2) , G_(3) , and H_(1) , H_(2) , H_(3) are the three arithmetic, geometric and harmonic means between two positive numbers a and b(a gt b) , then which of the following is/are true ?

If A_(1) , A_(2) , A_(3) , G_(1) , G_(2) , G_(3) , and H_(1) , H_(2) , H_(3) are the three arithmetic, geometric and harmonic means between two positive numbers a and b(a gt b) , then which of the following is/are true ?

If A_(1) , A_(2) , A_(3) , G_(1) , G_(2) , G_(3) , and H_(1) , H_(2) , H_(3) are the three arithmetic, geometric and harmonic means between two positive numbers a and b(a gt b) , then which of the following is/are true ?

If m is the A.M. of two distinct real numbers l and n ( l , n gt 1) and G_(1) , G_(2) and G_(3) are three geometric means between l and n , then G_(1)^(4) + 2 G_(2)^(4) + G_(3)^(4) equals :

If m is the A.M of two distinct real number l and n (l,n gt 1) and G_(1),G_(2) and G_(3) are three geometric means between l and n, then G_(1)^(4) + 2G_(2)^(4) + G_(3)^(4) equal :