Mathematics · 2025
JEE Main · 24 January 2025, Shift 2 · Q18
Let (2,3) be the largest open interval in which the function f(x)=2 log_e (x-2)-x^2+ a x+1 is strictly increasing and (b, c) be the largest open…
Let $\displaystyle (2,3)$ be the largest open interval in which the function $\displaystyle f(x)=2 \log _{\mathrm{e}}(x-2)-x^2+\mathrm{a} x+1$ is strictly increasing and (b, c) be the largest open interval, in which the function $\displaystyle \mathrm{g}(x)=(x-1)^3(x+2-\mathrm{a})^2$ is strictly decreasing. Then $\displaystyle 100(a+b-c)$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 360$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.