JEE Main 2025 — Parabola Question with Solution
JEE Main 2025 (7 Apr Shift 1)
Question
Let P be the parabola, whose focus is and directrix is . Then the sum of the ordinates of the points on P , whose abscissa is -2 , is
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Equation of parabola
Put
$\begin{aligned}
& 5\left(y^2-2 y+1\right)=y^2-4 y+4 \\ & \Rightarrow 4 y^2-6 y+1=0 \Rightarrow y_1+y_2=\frac{3}{2}
\end{aligned}$
Put
$\begin{aligned}
& 5\left(y^2-2 y+1\right)=y^2-4 y+4 \\ & \Rightarrow 4 y^2-6 y+1=0 \Rightarrow y_1+y_2=\frac{3}{2}
\end{aligned}$
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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.