Q. The distance between the pair of parallel lines given by $x^{2} - 1005x + 2006 = 0$ is

A) 1001
B) 1000
C) 1005
D) 2006
Explanation

(a)
Given equation is $x^{2} - 1005x + 2006 = 0$
$\Rightarrow \ (x - 2)(x - 1003) = 0$
$\Rightarrow \ x = 2,\ \ x = 1003$
$\therefore$ Required distance between the lines
$= 1003 - 2 = 1001$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.