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If A, G & H are respectively te A.M., G....

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

A

`x_(3)^(3)-3 Ax_(2)^(2)+3G_(3)^(3)x-G^(3)=0`.

B

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

C

`x_(3)^(3)+3Ax_(2)^(2)+3(^(3)//H)x-G^(3)=0`.

D

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

Text Solution

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The correct Answer is:
B
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