iran-konkur 2015 Q136

iran-konkur · Other · konkur-riazi_1394 Circles Circles Tangent to Each Other or to Axes
136- Circles $C$ and $C'$ are tangent at point $(0,1)$ and their common internal tangent lines with respect to circle $C$ are equidistant from point $(-3, 2)$. If circle $C'$ with radius $\sqrt{5}$ passes through $(-3,2)$, what is the center of circle $C'$?
(1) $(-1, 3)$ (2) $(-1, 2)$
(3) $(1, -2)$ (4) $(1, -1)$
\textbf{136-} Circles $C$ and $C'$ are tangent at point $(0,1)$ and their common internal tangent lines with respect to circle $C$ are equidistant from point $(-3, 2)$. If circle $C'$ with radius $\sqrt{5}$ passes through $(-3,2)$, what is the center of circle $C'$?

\medskip
(1) $(-1, 3)$ \hfill (2) $(-1, 2)$

(3) $(1, -2)$ \hfill (4) $(1, -1)$

\medskip