JEE Main 2019 — Circle Question with Solution
From: JEE Main 2019 (Online) 12th January Evening Slot
Question
If a circle of radius R passes through the origin O and intersects the coordinates axes at A and B, then the
locus of the foot of perpendicular from O on AB is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D(x2 + y2)3 = 4R2x2y2
Step-by-step explanation
Slope of AB =
Equation of AB is hx + ky = h2 + k2
A
AB = 2R
(h2 + k2)3 = 4R2h2k2
(x2 + y2)3 = 4R2x2y2
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This is a previous-year question from JEE Main 2019, covering the Circle 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.