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If A,G,H are AM,GM,HM between the two nu...

If A,G,H are AM,GM,HM between the two numbers a and b ,then A ,G,H are in

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If the ratio of H.M. and G.M. between two numbers a and b is 4:5, then find the ratio of the two number?

If A^(x)=G^(y)=H^(z) , where A,G,H are AM,GM and HM between two given quantities, then prove that x,y,z are in HP.

Knowledge Check

  • If AM and HM between two numbers are 27 and 12 respectively, then their GM is

    A
    9
    B
    18
    C
    24
    D
    36

  • The A.M., G.M. and H.M. between two positive numbers a and b are equal, then

    A
    a = b
    B
    ab = 1
    C
    `a gt b`
    D
    `a lt b`

  • If the A.M. and G.M. between two numbers are in the ratio m.n., then what is the ratio between the two numbers ?

    A
    `(m+sqrt(m^(2)-n^(2)))/(m-sqrt(m^(2)-n^(2)))`
    B
    `(m+n)/(m-n)`
    C
    `(m^(2)-n^(2))/(m^(2)+n^(2))`
    D
    `(m^(2)+n^(2)-mn)/(m^(2)+n^(2)+mn)`

    • Similar Questions

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    If sum of A.M. and H.M between two numbers is 25 and their GM is,then sum of two numbers

    If A_1,A_2,G_1,G_2 and H_1,H_2 are AM’s, GM’s and HM’s between two numbers, then (A_1+A_2)/(H_1+H_2). (H_1H_2)/(G_1G_2) equals _____

    If A,G,H are A.M., G.M., H.M. respectively, if G=6 and H=4 then value of A is

    If the A.M. and G.M. between two numbers are in the ratio m : n, then the numbers are in the ratio

    Two AMs. A_1 and A_2 , two GMs. G_1 and G_2 and two HMs. H_1 and H_2 are inserted between any two numbers. Then find the arithmetic mean between H_1 and H_2 in terms of A_1, A_2, G_1, G_2 .

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