a) Để \(\left(d_1\right)\) cắt \(\left(d_2\right)\Rightarrow m+5\ne2m\Rightarrow m\ne5\)
b) Để \((d_1)\parallel (d_2)\) \(\Rightarrow\left\{{}\begin{matrix}m+5=2m\\1\ne-m+3\end{matrix}\right.\Rightarrow m=5\)
c) Để \(\left(d_1\right)\equiv\left(d_2\right)\Rightarrow\left\{{}\begin{matrix}m+5=2m\\1=-m+3\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}m=5\\m=2\end{matrix}\right.\Rightarrow\) loại

