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If A,G and H are respectively A.M.,G.M. ...

If A,G and H are respectively A.M.,G.M. and H.M. of three positive numbers a,b and c, then the equation whose roots are a,b,c is given by `:`

A

`x^(3) -3Ax^(2) + 3G^(3) x -G^(3) = 0`

B

`x^(3) - 3Ax^(2) + 3((G^(3))/( H))x-G^(2) = 0 `

C

`x^(3) + 3Ax^(2) + 3((G^(3))/( H))x-G^(2) = 0 `

D

`x^(3) - 3Ax^(2) - 3((G^(3))/( H))x-G^(2) = 0 `

Text Solution

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The correct Answer is:
B
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