JEE Main 2021 — Circle Question with Solution
From: JEE Main 2021 (Online) 31st August Evening Shift
Question
Let B be the centre of the circle x2 + y2 2x + 4y + 1 = 0. Let the tangents at two points P and Q on the circle intersect at the point A(3, 1). Then 8. is equal to _____________.
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Show full solutionCorrect answer: 18
Correct answer
18
Step-by-step explanation
Radius =
In ABP
AP = 3
AQ = AP = 3
Let ABP = , BAP = 90
In ABP, tan = 3/2
,
In ARP,
In BRP,
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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.