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JEE Main 2012 Mathematics question

MathematicsApplication of DerivativesJEE Main 2012

Consider a quadratic equation , where 2a + 3b + 6c = 0 and let . Statement 1: The quadratic equation has at least one root in the interval (0, 1). Statement 2: The Rolle's theorem is applicable to function g(x) on the interval [0, 1].

Answer: (4)

Solution

g(0) = 0 and ; g is a polynomial, so Rolle's theorem applies on [0, 1] (Statement

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Question ID VK-103596