If $M$ is the foot of the perpendicular drawn from the origin to the line $x-2 y+3=0$ which meets the $X$ and $Y$-axes at $A$ and $B$ respectively, then $A M=$

• A

  $\frac{6 \sqrt{10}}{5}$
• B

  $6 \sqrt{5}$
• Correct answer
  C

  $\frac{6 \sqrt{5}}{5}$
• D

  $6 \sqrt{10}$

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