If $\quad a_1 x+b_1 y+c_1 z=0, \quad a_2 x+b_2 y+c_2 z=0$, $a_3 x+b_3 y+c_3 z=0$ and $\left|\begin{array}{lll}a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3\end{array}\right|=0$, then the given system has

• A

  one trivial and one non-trivial solution
• B

  no solution
• C

  one solution
• Correct answer
  D

  infinite solution

Hence, the correct answer is option: 'D'.