If a and b are two distinct real roots of the polynomial f(x) such that a<b, then there exists a real number c lying between a and b, such that

JEE Main Mathematics question

If and are two distinct real roots of the polynomial such that , then there exists a real number lying between and , such that

Answer: (B)

A polynomial is continuous on and differentiable on , and . By Rolle's

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Question ID VK-014121