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MCQMediumJEE Main 2025 · 24 January, Shift 2Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2025 · 24 January, Shift 2

Let (2,3)(2, 3) be the largest open interval in which the function f(x)=2log⁡e(x−2)−x2+ax+1f(x) = 2 \log_e (x - 2) - x^2 + ax + 1 is strictly increasing, and (b,c)(b, c) be the largest open interval, in which the function g(x)=(x−1)3(x+2−a)2g(x) = (x - 1)^3 (x + 2 - a)^2 is strictly decreasing. Then 100(a+b−c)100(a + b - c) is equal to:

  • A

    360360

  • B

    280280

  • C

    160160

  • D

    420420

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