JEE Main 2025 — Ellipse Question with Solution
JEE Main 2025 (24 Jan Shift 2)
Question
The equation of the chord, of the ellipse , whose mid-point is is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Equation of chord with given middle point
$\begin{aligned}
& T=S_1 \\
& \Rightarrow \frac{3 x}{25}+\frac{\mathrm{y}}{16}-1=\frac{9}{25}+\frac{1}{16}-1 \\
& 48 \mathrm{x}+25 \mathrm{y}=144+25 \\
& 48 \mathrm{x}+25 \mathrm{y}=169 \text { Ans. }
\end{aligned}$
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This is a previous-year question from JEE Main 2025, covering the Ellipse 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.