Question

the distance between the lines x +y=1 and 2x+2y=5 is
1.
$\frac{1}{2 \sqrt{2} }$
2.
$\frac{3}{2 \sqrt{2} }$

3.
$\frac{2}{3 \sqrt{2} }$

4.
$\frac{5}{ \sqrt{2} }$
​

Answer 1

Answer:

lines are x+y=1 & x+y=5/2 . Both are parallel lines.

$req \: dis. = \frac{ \frac{5}{2} - 1 }{ \sqrt{1 + 1} } = \frac{3}{2 \sqrt{2} }$