Question

A line passes through P(1, 2) such that its intercept between the axes is bisected at P. Find the equation of line.

Answer 1

Equation of a line in intercept form is

\(\frac{x}{a}+\frac{y}{b}=1\) 

Given, \(\frac{a+0}{2}=1\) and \(\frac{0+b}{2}=2\) 

⇒ a = 2              ⇒ b = 4 

⇒ \(\frac{x}{2}+\frac{y}{4}=1\) 

⇒ 2x + y – 4 = 0, is the required equation of the line