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JEE Main 202124 FebruaryMorning Shift
Exam
JEE Main
Year
2021
Date
24 February
Shift
Morning Shift
Subject
Mathematics
Chapter
Circle

JEE Main 2021 · 24 February · Morning Shift · Mathematics · Circle

If one of the diameters of the circle x ^ 2 + y ^ 2 - 2x - 6y + 6 =...

If one of the diameters of the circle x2+y2−2x−6y+6=0{x}^{2} + {y}^{2} - 2x - 6y + 6 = 0 is a chord of another circle C ' ', whose center is at \left(2, 1\right)$, then its radius is_____.If one of the diameters of the circle x ^ 2 + y ^ 2 - 2x - 6y + 6 = 0 is a chord of another circle C ' ' , whose center

Correct answer

0

Step-by-step solution

If one of the diameters of the circle x ^ 2 + y ^ 2 - 2x - 6y + 6 = 0 is a chord of another circle C ' ' , whose center

x2+y2−2x−6y+6=0{x}^{2} + {y}^{2} - 2x - 6y + 6 = 0
centre \left(1, 3\right)</p><p>radius</p><p>radius= 2<br/>Distancebetween(1,3)<br />Distance between \left(1, 3\right) and \left(2, 1\right)isis\sqrt{5}</p><p></p><p>∴ {\left(\sqrt{5}\right)}^{2} + {\left(2\right)}^{2} = {r}^{2}</p><p></p><p>⇒ r = 3

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