JEE Main 2025 — Continuity and Differentiability Question with Solution
JEE Main 2025 (29 Jan Shift 2)
Question
Let the function be not differentiable at the two points and . Then the distance of the point from the line is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C3
Step-by-step explanation
Notice that which means is differentiable
everywhere in
$\begin{aligned}
& \Rightarrow f(x) \text { can be non differentiable where }\left|x^2-a x+2\right| \\
& =0
\end{aligned}$
distance of from line $\begin{aligned} & 12 x+5 y+10=0 \\ & \Rightarrow \frac{|2(12)+5(1)+10|}{13}=\frac{39}{13}=3 \end{aligned}$
distance of from line $\begin{aligned} & 12 x+5 y+10=0 \\ & \Rightarrow \frac{|2(12)+5(1)+10|}{13}=\frac{39}{13}=3 \end{aligned}$
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This is a previous-year question from JEE Main 2025, covering the Continuity and Differentiability 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.