\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the coordinates of the image point \(M'\) of point \(M(1,2)\) under a homothety with center \(A(0,0)\) and scale factor \(2\).
\(M'(\)
\(,\)
\()\)