Question:medium
If a diameter of the circle $x^2 + y^2 - 2x - 6y + 6 = 0$ is a chord of another circle $C$ having centre $(2, 1)$, then the radius of the circle $C$ is:
If a diameter of the circle $x^2 + y^2 - 2x - 6y + 6 = 0$ is a chord of another circle $C$ having centre $(2, 1)$, then the radius of the circle $C$ is:
Show Hint
Visualize the geometry: the distance from the center of circle $C$ to the midpoint of its chord (which is the center of $S_1$) is the "perpendicular distance." The radius of $S_1$ is half the chord length.
Updated On: May 2, 2026
- $2$
- $\sqrt{3}$
- $3$
- $\sqrt{5}$
- $5$
Show Solution
The Correct Option is C
Solution and Explanation
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