JEE Main 2019MathematicsHyperbolaEasyMCQ

JEE Main 2019 — Hyperbola Question with Solution

JEE Main 2019 (09 Jan Shift 2)

Question

A hyperbola has its centre at the origin, passes through the point 4, 2 and has transverse axis of length 4 along the x-axis. Then the eccentricity of the hyperbola is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C23

Step-by-step explanation

Equation of hyperbola having tranverse axis along x-axis is x2a2-y2b2=1

From the given information, equation of hyperbola can be taken as

x24-y2b2=1, since a=2



Since it passes through 4, 2,

Hence b2=43

Now e=1+b2a2= 1+13=23

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About this question

This is a previous-year question from JEE Main 2019, 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.