JEE Main 2021MathematicsHyperbolaLocusmediumMCQ

JEE Main 2021 — Hyperbola Question with Solution

From: JEE Main 2021 (Online) 16th March Morning Shift

Question

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

Choose an option

Show full solutionCorrect option: A
Correct answer
A(x2 + y2)2 9x2 + 16y2 = 0

Step-by-step explanation

tangent of hyperbola

..... (i)

which is a chord of circle with mid-point (h, k)

so equation of chord T = S1

hx + ky = h2 + k2

..... (ii)

by (i) and (ii)

and =



Locus : 9x2 16y2 = (x2 + y2)2

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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.