Question

Find the length of perpendicular from the origin to the line $4x+3y-2=0$

Answer 1

The given point is P(0, 0) and the given line is $4x+3y-2=0$

Let d be the length of perpendicular from p(0, 0) to the line

$4x+3y-2=0$

Then, d = $\frac{|4\times 0+3\times 0-2|}{\sqrt{4^2+3^2}}=\frac{2}{5}$ unit.