JEE Main 2025 — Ellipse Question with Solution
JEE Main 2025 (29 Jan Shift 2)
Question
If is the equation of the chord of the ellipse , whose mid point is , then is equal to :
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Show full solutionCorrect option: A
Correct answer
A58
Step-by-step explanation
Equation of chord T $\begin{aligned} & \frac{5}{2}\left(\frac{x}{9}\right)+\frac{1}{2}\left(\frac{\mathrm{y}}{4}\right)=\frac{25}{36}+\frac{1}{16} \\ & \Rightarrow \frac{5 \mathrm{x}}{18}+\frac{\mathrm{y}}{8}=\frac{100+9}{144}=\frac{109}{144} \\ & \Rightarrow 40 \mathrm{x}+18 \mathrm{y}=109 \\ & \Rightarrow \alpha=40, \beta=18 \\ & \Rightarrow \alpha+\beta=58 \end{aligned}$
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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.