MHT CET 2026 Mathematics question
Rolle's theorem holds for quadratic polynomial on the interval . Similarly, also follows Rolle's theorem in the interval such that the value of is same for both and , then the value of is...
Answer: (C)
Solution
Rolle's theorem on needs ; for a quadratic the point with is the vertex, the midpoint . Since has the same derivative, it has the same , and Rolle on requires . Equating,
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