JEE Main 2022 — Hyperbola Question with Solution
From: JEE Main 2022 (Online) 27th July Evening Shift
Question
A common tangent to the curves and does not pass through the fourth quadrant. If touches at and at , then is equal to ______________.
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Show full solutionCorrect answer: 20
Step-by-step explanation
Equation of tangent to ellipse and given slope m is : ..... (i)
For slope m equation of tangent to hyperbola is :
....... (ii)
Tangents from (i) and (ii) are identical then
(+2 is not acceptable)
.
Hence, and
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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.