If a, b, c are non-zero real numbers such that (1+cos³x) (ax²+bx+c) dx = ₁ (1+cos³ x)(ax² + bx + c) dx = 0, then the equation ax² + bx+c=0 will have (a) one root between 0 and 1 and another between 1 and 2 (b) both the roots between 0 and 1 (c) both the roots between 1 and 2 (d) None of the above

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