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Let x1, x2, x3 be the roots of equation ...

Let `x_1, x_2, x_3` be the roots of equation `x^3-x^2+beta x+gamma=0`. If , `x_1,x_2,x_3` are in A.P. then

A

`beta in (-prop,(1)/(3)]`

B

`beta in [(1)/(3),prop)`

C

`gamma in (-prop,-(1)/(27)]`

D

`gamma in [-(1)/(27),prop)`

Text Solution

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The correct Answer is:
A, D
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Knowledge Check

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