Statement 1: The shortest distance between the lines $\frac{x}{2}=\frac{y}{-1}=\frac{z}{2}$ and…

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

Solution

On solving we will get shortest distance $ \neq \sqrt{2} $

Asked in: JEE Main 2012 (19 May Online)

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