Phương pháp giải:

Cho hai đường thẳng \({d_1}:\,\,{a_1}x + {b_1}y + {c_1} = 0,\,\,\,{d_2}:{a_2}x + {b_2}y + {c_2} = 0\):

+) \(\frac{{{a_1}}}{{{a_2}}} = \frac{{{b_1}}}{{{b_2}}} = \frac{{{c_1}}}{{{c_2}}}\): \({d_1}\) trùng \({d_2}\).

+)  \(\frac{{{a_1}}}{{{a_2}}} = \frac{{{b_1}}}{{{b_2}}} \ne \frac{{{c_1}}}{{{c_2}}}\): \({d_1}\) song song \({d_2}\).

+) \(\frac{{{a_1}}}{{{a_2}}} \ne \frac{{{b_1}}}{{{b_2}}}\): \({d_1}\)cắt \({d_2}\).

 Đặc biệt: Nếu \({a_1}{a_2} + {b_1}{b_2} = 0\) thì \({d_1}\) vuông góc \({d_2}\).

Lời giải chi tiết:

Ta có:  \(\frac{1}{{ - 3}} = \frac{{ - 2}}{6} \ne \frac{1}{{ - 10}} \Rightarrow \)d song song \(\Delta \) .

Chọn: A