JEE Main 2024 — Differentiation Question with Solution
JEE Main 2024 (09 Apr Shift 1)
Question
Let be such that and . Then is equal to:
Choose an option
Show full solutionCorrect option: C
Correct answer
C51
Step-by-step explanation
$\begin{aligned}
& \mathrm{f}(1)=40 \\
& \mathrm{a}+\mathrm{b}+\mathrm{c}+41=40
\end{aligned}$
use (3)
by (2)
$\begin{aligned}
& -3+b=2 \Rightarrow b=5 \& c=-5 \\
& a^2+b^2+c^2=1+25+25=51
\end{aligned}$
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This is a previous-year question from JEE Main 2024, covering the Differentiation chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.