JEE Main 2021 — Hyperbola Question with Solution
From: JEE Main 2021 (Online) 26th August Evening Shift
Question
The locus of the mid points of the chords of the hyperbola x2 y2 = 4, which touch the parabola y2 = 8x, is :
Choose an option
Show full solutionCorrect option: C
Correct answer
Cy2(x 2) = x3
Step-by-step explanation
T = S1
xh yk = h2 k2
this touches y2 = 8x then
2y2 = x(y2 x2)
y2(x 2) = x3
xh yk = h2 k2
this touches y2 = 8x then
2y2 = x(y2 x2)
y2(x 2) = x3
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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.