iran-konkur 2017 Q130

iran-konkur · Other · konkur-riazi_1396_specialized Not Maths
130. The image of circle $C$ with center $(1, 2)$ and radius 1 unit, under the transformation $T(x,y) = (3x, 3y)$, is circle $C'$. The length of the common external tangent of these two circles is what?
  • [(1)] $3$
  • [(2)] $2\sqrt{3}$
  • [(3)] $4$
  • [(4)] $3\sqrt{2}$
\textbf{130.} The image of circle $C$ with center $(1, 2)$ and radius 1 unit, under the transformation $T(x,y) = (3x, 3y)$, is circle $C'$. The length of the common external tangent of these two circles is what?

\begin{itemize}
    \item[(1)] $3$
    \item[(2)] $2\sqrt{3}$
    \item[(3)] $4$
    \item[(4)] $3\sqrt{2}$
\end{itemize}