JEE Main 2025 — Parabola Question with Solution
JEE Main 2025 (24 Jan Shift 2)
Question
If the equation of the parabola with vertex and the directrix is , then is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B9
Step-by-step explanation
$\begin{aligned} & \therefore \quad \text { Equation of parabola is } P S=(1) P M \\ & \Rightarrow P S^2=P M^2 \\ & (x-3)^2+(y-6)^2=\left(\frac{x+2 y}{\sqrt{5}}\right)^2 \\ & 5 x^2-30 x+5 y^2-60 y+225=x^2+4 y^2+4 x y \\ & 4 x^2+y^2-4 x y-30 x-60 y+225=0 \end{aligned}$ We get :
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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.