JEE Main 2022MathematicsHyperbolaNormal To HyperbolamediumNumerical

JEE Main 2022Hyperbola Question with Solution

From: JEE Main 2022 (Online) 25th June Evening Shift

Question

Let the eccentricity of the hyperbola be . If the equation of the normal at the point on the hyperbola is , then is equal to ___________.

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Show full solutionCorrect answer: 85
Correct answer
85

Step-by-step explanation

So,

Also lies on the given hyperbola

So, and

Equation of normal

So, = 15 and = 100

Gives = 85

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About this question

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.