Q. The distance of the point $( - 2,\ 3)$ from the line $x - y = 5$ is
A) $5\sqrt{2}$
B) $2\sqrt{5}$
C) $3\sqrt{5}$
D) $5\sqrt{3}$
Explanation
(a)
The distance of the point $( - 2,\ 3)$ from the line $x - y = 5$ is
$p = \left| \frac{- 2 - 3 - 5}{\sqrt{(1)^{2}} + ( - 1)^{2}} \right|$
$= \left| \frac{- 10}{\sqrt{2}} \right| = \frac{10}{\sqrt{2}} = 5\sqrt{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.