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If a,b,c are non-zero real numbers such ...

If a,b,c are non-zero real numbers such that `int_(0)^(1) ( 1+ cos^(8) x) (ax^(2) + bx + c ) dx = int _(0)^(2) (1+cos^(8)x) (ax^(2) + bx + c ) dx = 0 `,then the equation `ax^(2) + bx +c = 0` will have

A

one root between 0 and 1 and other root between 1 and 2

B

both the roots between 0 and 1

C

both roots between 1 and 2

D

both the roots between `(3, oo )`

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The correct Answer is:
A
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