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If alpha, beta are the roots of the equa...

If `alpha, beta` are the roots of the equation `x^(2)+alphax + beta = 0` such that `alpha ne beta` and `||x-beta|-alpha|| le alpha`, then

A

inequality is satisfied by exactly two integral values of x

B

inequality is satisfied by all values of `x in (-4,-2)`

C

Roots of the equation are opposite in sign

D

`x^(2)+alphax+beta lt 0 AA x in [-1,0]`

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The correct Answer is:
A
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