JEE Main 2026 — Hyperbola Question with Solution
JEE Main 2026 (05 April Shift 2)
Question
Let the eccentricity of a hyperbola satisfy the equation . If the foci of the hyperbola are and , then the length of its latus rectum is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Given the equation for eccentricity:
or
For a hyperbola, , so .
The distance between the foci and is .
Using the relation :
The length of the latus rectum is :
Answer:
or
For a hyperbola, , so .
The distance between the foci and is .
Using the relation :
The length of the latus rectum is :
Answer:
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This is a previous-year question from JEE Main 2026, 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.