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The harmonic mean between two numbers 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.

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If H.M. of two number is 4 , then A.M. 'A' and G.M. 'G' satisfy the relation 2A + G^(2) = 27 , then modulus of difference of these two numbers is

The harmonic mean of two numbers is 4. Their arithmetic mean A and the geometric mean G satisfy the relation 2A+G^(2)=27. Find two numbers.

Knowledge Check

  • The harmonic mean of two numbers is 4, their A.M. A, and G.M. G satisfy the relation 2A + G^(2) = 27 . The two numbers are

    A
    6, 3
    B
    5, 4
    C
    5, -2.5
    D
    `-3, 1`

  • The H.M. between two numbers is 16/5, their A.M. is A and G.M. is G. If 2A +G^(2) = 26 then the numbers are

    A
    6,8
    B
    4,8
    C
    2,8
    D
    1,8

  • If the harmonic mean between two positive numbers is to their G.M. as 12 : 13, the numbers are in the ratio

    A
    `12 : 13`
    B
    `(1)/(12) : (1)/(13)`
    C
    `4 : 9`
    D
    `(1)/(4) : (1)/(9)`

    • Similar Questions

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    The A.M. between two numbers is 20 and their G.M. is 16. find the numbers.

    The arithmetic mean of two numbers is 6 and their geometric mean G and harmonic mean H satisfy the relation G^(2)+3H=48. Find the two numbers.

    The harmonic mean of two numbers is 4 and the arithmetic and geometric mean satisfy the relation 2A+G^2=27 the numbers are

    The harmonic mean of two numbers is 4 and the arithmetic and geometric mean satisfy the relation 2A+G^2=27 the numbers are

    The arithmetic mean of two positive numbers is 6 and their geometric mean G and harmonic mean H satisfy the relation G^(2)+3H=48 . Then the product of the two numbers is

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