Two families of lines are given by $a x+b y+c=0$ and $4 a^2+9 b^2-c^2-12 a b=0$. Then the line common to both the families is

• A

  a line passing through $(-1,2)$ and $(2,3)$
• B

  a line passing through $(3,2)$ and $(2,3)$
• C

  a line passing through $(-3,-2)$ and $(-2,-3)$
• Correct answer
  D

  a line passing through $(2,-3)$ and $(-2,3)$

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