JEE Main 2021MathematicsHyperbolaMediumMCQ

JEE Main 2021 — Hyperbola Question with Solution

JEE Main 2021 (16 Mar Shift 1)

Question

The locus of the midpoints of the chord of the circle, x2+y2=25 which is tangent to the hyperbola, x29-y216=1 is :

Choose an option

Show full solutionCorrect option: D
Correct answer
Dx2+y22-9x2+16y2=0

Step-by-step explanation

Equation of chord

y-k=-hkx-h

ky-k2=-hx+h2

hx+ky=h2+k2

y=-hxk+h2+k2k

tangent to x29-y216=1

c2=a2m2-b2

h2+k2k2=9-hk2-16

x2+y22=9x2-16y2

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About this question

This is a previous-year question from JEE Main 2021, 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.