If alpha and beta are the roots of the e...

If `alpha` and `beta` are the roots of the equation `x^2+px+(3p)/4=0` such that `|alpha-beta|=sqrt(10)` then p belongs to the set

A

`{2,-5}`

B

`{-3,2}`

C

`{-2,5}`

D

`{-3,5}`

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The correct Answer is:

C

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