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If x,y,z are the three geometric means b...

If x,y,z are the three geometric means between 6,54, then z =

A

`9sqrt(3)`

B

18

C

`18sqrt(3)`

D

27

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Let x be the arithmetic mean y,z be the two geometric means between any two positive numbers. Then value of (y^(3) + z^(3))/(xyz) is

    A
    2
    B
    3
    C
    `1//2`
    D
    `3//2`

  • The equation of the bisectors of the angles between the planes 2x-y-2z-6=0,3x+2y-6z-12=0 is

    A
    `23x-y-32z-78=0,5x-13y-4z-6=0`
    B
    `15x-27y+2z-78=0,x-5y-15z-15=0`
    C
    `67x-162y+47z+44=0,11x+6y+5z+86=0`
    D
    `y-1=0,x+z-3=0`

  • If 2(y - a) is the H.M between y - x and y - z, then x - a, y -a, z - a are in

    A
    A.P
    B
    G.P
    C
    H.P
    D
    none of these

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    Find z so that z+1,z+2,z+3 are consecutive terms of a geometric progression.

    Find the non-trivial solutions, if any, for the system of homogeneous equations 2x+5y+6z=0,x-3y-8z=0,3x+4y-4z=0

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