JEE Main 2022 — Hyperbola Question with Solution
From: JEE Main 2022 (Online) 26th July Morning Shift
Question
Let the tangent drawn to the parabola at the point is perpendicular to the line . Then the normal to the hyperbola at the point does NOT pass through the point :
Choose an option
Show full solutionCorrect option: D
Step-by-step explanation
Any tangent to at (, )
Slope and perpendicular to
Hence hyperbola is and normal is drawn at (10, 16)
Equation of normal
This does not pass though (15, 13) out of given option.
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This is a previous-year question from JEE Main 2022, covering the Hyperbola 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.