JEE Main 2023 — Hyperbola Question with Solution
From: JEE Main 2023 (Online) 1st February Evening Shift
Question
Let be the point on the hyperbola , which is nearest to the line . Then is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B9
Step-by-step explanation
If is point on hyperbola then tangent at is parallel to
Equation of tangent
Slope of tangent
Equation of tangent in slope form
or
Comparing
Equation of tangent
Slope of tangent
Equation of tangent in slope form
or
Comparing
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This is a previous-year question from JEE Main 2023, 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.