a) Để \(d_1||d_2\Leftrightarrow\left\{{}\begin{matrix}1-3m=4m+1\\m-2\ne-3\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}m=0\\m\ne-1\end{matrix}\right.\)\(\Rightarrow m=0\)
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b) Để d1 cắt d2\(\Leftrightarrow1-3m\ne4m+1\Leftrightarrow m\ne0\)
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c)Để \(d_1\equiv d_2\Leftrightarrow\left\{{}\begin{matrix}1-3m=4m+1\\m-2=-3\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}m=0\\m=-1\end{matrix}\right.\)\(\Leftrightarrow m\in\varnothing\)
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a) \((d_1)\parallel (d_2) \) \(\Rightarrow\left\{{}\begin{matrix}1-3m=4m+1\\m-2\ne-3\end{matrix}\right.\Rightarrow m=0\)
b) \(\left(d_1\right)\) cắt \(\left(d_2\right)\Rightarrow1-3m\ne4m+1\Rightarrow m\ne0\)
c) \(\left(d_1\right)\equiv\left(d_2\right)\Rightarrow\left\{{}\begin{matrix}1-3m=4m+1\\m-2=-3\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}m=0\\m=-1\end{matrix}\right.\Rightarrow\) loại
