JEE Advanced Mathematics question
STATEMENT-1: The cubic equation has a root in the interval . STATEMENT-2: If is a polynomial equation which has two real roots then will have a root such that .
Answer: (A)
Solution
**Statement-2:** A polynomial is continuous and differentiable everywhere; , so by Rolle's theorem for some . **True.** - **Statement-1:** The cubic is the derivative of . Now
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