JEE Main 2021 — Circle Question with Solution
From: JEE Main 2021 (Online) 26th February Evening Shift
Question
If the locus of the mid-point of the line segment from the point (3, 2) to a point on the circle, x2 + y2 = 1 is a circle of radius r, then r is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let P(h, k) and point on the circle is (cos, sin)
and
cos = 2h 3 and sin = 2h 2
Squaring and adding we get
Radius =
and
cos = 2h 3 and sin = 2h 2
Squaring and adding we get
Radius =
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This is a previous-year question from JEE Main 2021, 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.