Question

The distance between the parallel lines $y=x+a,y=x+b$ is

• A. $\frac{|b-a|}{\sqrt{2}}$
• B. $|a-b|$
• C. $|a+b|$
• D. $\frac{|a+b|}{\sqrt{2}}$

Answer 1

Answer: (A)

The distance between two parallel lines
$=\frac{|c_1-c_2|}{\sqrt{a^2+b^2}}$
$\therefore$ Distance $=\frac{|b-a|}{\sqrt{1^2+1^2}}$ $=\frac{|b-a|}{\sqrt{2}}$