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If alpha, beta in R, are the roots of th...

If `alpha, beta in R`, are the roots of the equation `ax^(2) + bx + c = 0, k in R` lies between `alpha and beta`, if

A

`ac gt 0`

B

`ak^(2) + bk + c gt 0`

C

`ac lt 0`

D

`a^(2)k^(2) + abk + ac lt 0`

Text Solution

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The correct Answer is:
D
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