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Let x(1),x(2) be the roots of the equati...

Let `x_(1),x_(2)` be the roots of the equation `x^(2)-3x+A=0` and let `x_(3),x_(4)` be the roots of the equations `x^(2)-12x+B=0`. If the numbers `x_(1),x_(2),x_(3),x_(4)` (in that order) form an increasing GP, then values of A and B are

A

`A=2,B=32`

B

`A=-2,B=32`

C

`A=-2,B=-32`

D

none of these

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A
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Knowledge Check

  • Let alpha, beta be the roots of the equation x^(2)-3x+p=0 and" let "gamma, delta be the roots of the equation x^(2)-12x+q=0 . If the numbers alpha, beta, gamma (in order) form an increasing G.P. then

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