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Q.
If $lx + ly + p = 0$ and $lx + ly - r = 0$ are two parallel lines, then distance between them is equal to $\left|\frac{m}{n}\right|$, where $m$ and $n$ respectively are
Straight Lines
Solution:
Given, lines $lx+ly+p=0$ and $lx+ly-r=0$ are parallel.
$\therefore $ Distance between two parallel lines
$=\left|\frac{p-\left(-r\right)}{\sqrt{\left(l\right)^{2}+\left(l\right)^{2}}}\right|=\left|\frac{p+r}{\sqrt{2l^{2}}}\right|$
$=\left|\frac{p+r}{\sqrt{2}l}\right|$