JEE Main 2021 — Circle Question with Solution
From: JEE Main 2021 (Online) 17th March Evening Shift
Question
Two tangents are drawn from a point P to the circle x2 + y2 2x 4y + 4 = 0, such that the angle between these tangents is , where (0, ). If the centre of the circle is denoted by C and these tangents touch the circle at points A and B, then the ratio of the areas of PAB and CAB is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B9 : 4
Step-by-step explanation
Let = tan1
tan =
and
In CAP,
In APM,
Area of
Now,
In CAM,
Area of
Therefore, the correct answer is (2).
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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.