JEE Main 2016MathematicsHyperbolaEasyMCQ

JEE Main 2016 — Hyperbola Question with Solution

JEE Main 2016 (03 Apr)

Question

The eccentricity of the hyperbola whose length of its conjugate axis is equal to half of the distance between its foci, is

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Show full solutionCorrect option: A
Correct answer
A23

Step-by-step explanation

For any standard hyperbola we know that

eccentricity, e=1+b2a2, conjugate axis =2b and distance between the foci =2ae.

Given,  2b=122ae. 

⇒ ba=e2

Now, e= 1+b2a2= 1+e24

⇒  e2=1+e24

⇒  34e2=1

⇒  e2=43

⇒  e=23

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About this question

This is a previous-year question from JEE Main 2016, 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.