Geometric Mean|Questions|Relationship Between A.M. And G.M.|OMR

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H.P and relation || Question on A.M,G.M & H.M.

If 3 arithmetic means, 3 geometric means and 3 harmonic means are inserted between 1 and 5, then the cubic equation whose roots are first A.M., second G.M. and third H.M. between 1 and 5, is

The harmonic mean between two numbers is 21/5, their A.M. ' A ' and G.M. ' G ' satisfy the relation 3A+G^2=36. Then find the sum of square of numbers.

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

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