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the determinant |{:(a,,b,,aalpha+b),(b,,...

the determinant `|{:(a,,b,,aalpha+b),(b,,c,,balpha+c),(aalpha+b,,balpha+c,,0):}|=0` is equal to zero if

A

a,b,c are in AP

B

a,b,c are in GP

C

a,b,c are in HP

D

`(x-alpha)` is a factor of `ax^2+2bx+c`

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The correct Answer is:
B, D
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