Giả sử: \(d_{\left(M,\Delta_1\right)}=d_{\left(M,\Delta_2\right)}\)
\(\Rightarrow\dfrac{\left|2x+4y+7\right|}{\sqrt{2^2+4^2}}=\dfrac{\left|x-2y-3\right|}{\sqrt{1^2+2^2}}\)
\(\Rightarrow\sqrt{5}\left|2x+4y+7\right|=2\sqrt{5}\left|x-2y-3\right|\)
\(\Rightarrow\left|2x+4y+7\right|=2\left|x-2y-3\right|\)
* \(2x+4y+7=2\left(x-2y-3\right)\)
\(\Rightarrow8y+13=0\)
*\(2x+4y+7=-2\left(x-2y-3\right)\)
\(\Rightarrow4x+1=0\)
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