If the d.c’s $(l,m,n)$ of two lines are connected by the relations $l+m+n=0$, $2lm-mn+2nl=0$ then the d.c’s of the two lines are

• A

  $\left(\frac{{\displaystyle 1}}{{\displaystyle \sqrt{16}}},\frac{{\displaystyle 1}}{{\displaystyle \sqrt{6}}},\frac{{\displaystyle -2}}{{\displaystyle \sqrt{6}}}\right),\left(\frac{{\displaystyle 1}}{{\displaystyle \sqrt{6}}},\frac{{\displaystyle -2}}{{\displaystyle \sqrt{6}}},\frac{{\displaystyle 1}}{{\displaystyle \sqrt{6}}}\right)$

• B

  $\left(\frac{{\displaystyle 1}}{{\displaystyle 14}},\frac{{\displaystyle 2}}{{\displaystyle 14}},\frac{{\displaystyle 3}}{{\displaystyle 14}}\right),\left(\frac{{\displaystyle 1}}{{\displaystyle 26}},\frac{{\displaystyle 3}}{{\displaystyle 26}},\frac{{\displaystyle 4}}{{\displaystyle 26}}\right)$

• C

  $\left(\frac{{\displaystyle 1}}{{\displaystyle \sqrt{14}}},\frac{{\displaystyle 2}}{{\displaystyle \sqrt{14}}},\frac{{\displaystyle 3}}{{\displaystyle \sqrt{14}}}\right),\left(\frac{{\displaystyle 1}}{{\displaystyle \sqrt{26}}},\frac{{\displaystyle 3}}{{\displaystyle \sqrt{26}}},\frac{{\displaystyle 4}}{{\displaystyle \sqrt{26}}}\right)$

• D

  $\left(\frac{{\displaystyle 1}}{{\displaystyle \sqrt{16}}},\frac{{\displaystyle -1}}{{\displaystyle \sqrt{6}}},\frac{{\displaystyle -2}}{{\displaystyle \sqrt{6}}}\right),\left(\frac{{\displaystyle 1}}{{\displaystyle \sqrt{6}}},\frac{{\displaystyle 2}}{{\displaystyle \sqrt{6}}},\frac{{\displaystyle 1}}{{\displaystyle \sqrt{6}}}\right)$