JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

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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Question ID VK-110331