Statement 1: The shortest distance between the lines $\frac{x}{2}=\frac{y}{-1}=\frac{z}{2}$ and $\frac{x-1}{4}=\frac{y-1}{-2}=\frac{z-1}{4}$ is $\sqrt{2}$. Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

• A

  Statement 1 is true, Statement 2 is false.
• B

  Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.
• Correct answer
  C

  Statement 1 is false, Statement 2 is true.
• D

  Statement 1 is true, Statement 2 is true, , Statement 2 is not a correct explanation for Statement 1.

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