Question

A parallel line is drawn from point $P(5,3)$ to $y$-axis, what is the distance between the line and $y$-axis.

Answer 1

Equation of line parallel to y axis $=x=5$

If line passes through (5,3)

Distance between two lines $L_1=ax+by+c_1=0$

$L_2=ax+by+c_2=0$

$D=\frac{|c_1-c_2|}{\sqrt{a^2+b^2}}$

Here, $L_1=x=5$

$L_2=x=0$

$D=\frac{|5-0|}{1}$

$D=5Ans$