JEE Main 2023 — Circle Question with Solution
From: JEE Main 2023 (Online) 25th January Evening Shift
Question
Points P(3, 2), Q(9, 10) and R() lie on a circle C and PR as its diameter. The tangents to C at the points Q and R intersect at the point S. If S lies on the line , then k is equal to ____________.
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Show full solutionCorrect answer: 3
Correct answer
3
Step-by-step explanation
Now,
So,
Tangent at
By (i) and (ii) , satisfies with the line
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This is a previous-year question from JEE Main 2023, 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.