Straight Line Question 112

Question: The distance of point (-2, 3) from the line $ x-y=5 $ is [Pb. CET 2001]

Options:

A) $ 5\sqrt{2} $

B) $ 2\sqrt{5} $

C) $ 3\sqrt{5} $

D) $ 5\sqrt{3} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Distance of point (-2, 3) from the line $ x-y=5 $ is $ | \frac{-2-3-5}{\sqrt{2}} | $ = $ | \frac{-10}{\sqrt{2}} | $ = $ 5\sqrt{2} $ .