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Let a ,b , c in R such that no two of t...

Let `a ,b , c in R` such that no two of them are equal and satisfy `|(2a, b, c),( b, c,2a), (c, 2a, b)|=0,` then equation `24 a x^2+8b x+4c=0` has (a) at least one root in `[0,1]` (b) at least one root in `[-1/2,1/2]` (c) at least one root in `[-1,0]` (d) at least two roots in `[0,2]`

A

atleast one root in `(0,1//2)`

B

atleast one root in `(-1//2, 1//2)`

C

atleast one root in `(-1,0)`

D

atleast two roots in `(0, 2)`

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