JEE Main 2020 — Circle Question with Solution
From: JEE Main 2020 (Online) 3rd September Morning Slot
Question
The diameter of the circle, whose centre lies on
the line x + y = 2 in the first quadrant and which
touches both the lines x = 3 and y = 2, is
_______ .
Enter your answer
Show full solutionCorrect answer: 3
Correct answer
3
Step-by-step explanation
center lies on x + y = 2 and in 1st quadrant center = (, 2 )
where > 0 and 2 > 0 0 < < 2
circle touches x = 3 and y = 2
and
2r = 3 = diameter.
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This is a previous-year question from JEE Main 2020, 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.