JEE Main 2025 — Parabola Question with Solution
JEE Main 2025 (4 Apr Shift 2)
Question
The axis of a parabola is the line and its vertex and focus are in the first quadrant at distances and units from the origin, respectively. If the point lies on the parabola, then a possible value of is :-
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Directrix
$\begin{aligned}
& \mathrm{PS}=\mathrm{PM} \\ & \sqrt{(1-2)^2+(\mathrm{K}-2)^2}=\frac{(1+\mathrm{K})}{\sqrt{2}} \\ & 2 \mathrm{~K}^2+8-8 \mathrm{~K}+2=\mathrm{K}^2+1+2 \mathrm{~K} \\ & \mathrm{~K}^2-10 \mathrm{~K}+9=0 \\ & \mathrm{~K}=9 \\ & \text { option (2) }
\end{aligned}$
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This is a previous-year question from JEE Main 2025, covering the Parabola 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.