1. Tardigrade
  2. Question
  3. Mathematics
  4. Statement 1: The shortest distance between the lines (x/2) = (y /-1) = (z/2) and (x-1/4)= (y-1/-2) = (z-1/4) is √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.

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Q. 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.

Three Dimensional Geometry

Solution:

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