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  • If one of the diameter of the circle  is a chord of another circle 'C' whose center is at (2,1

If one of the diameter of the circle x^{2}+y^{2}-2x -6y+6=0 is a chord of another circle 'C' whose center is at (2,1), then its radius is ___________
Option: 1 3
Option: 2 4
Option: 3 5
Option: 4 6

Answers (1)

best_answer

 

\begin{aligned} &\text { distance between }(1,3) \text { and }(2,1) \text { is } \sqrt{5}\\ &\therefore(\sqrt{5})^{2}+(2)^{2}=r^{2}\\ &\Rightarrow \mathrm{r}=3 \end{aligned}

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Suraj Bhandari

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