JEE Main 2021 — Circle Question with Solution
From: JEE Main 2021 (Online) 24th February Morning Shift
Question
If one of the diameters of the circle x2 + y2 - 2x - 6y + 6 = 0 is a chord of another circle 'C',
whose center is at (2, 1), then its radius is ________.
Enter your answer
Show full solutionCorrect answer: 3
Correct answer
3
Step-by-step explanation
Circle x2 + y2 - 2x - 6y + 6 = 0 has centre
O1(1, 3) and radius r
= 2.
Let centre O2 (2, 1) of required circle and its radius being r.
Distance between (1, 3) and (2, 1) is
Let centre O2 (2, 1) of required circle and its radius being r.
Distance between (1, 3) and (2, 1) is
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