Question

Find the equation of the line when the portion of it intercepted between the axes is divided by point (3 , 1) in the ratio 1 :3

Answer 1

Let equation of line in intercept form be $\frac{x}{\alpha }+\frac{y}{\beta }=1$.

$\Rightarrow 3=\frac{3\alpha }{4}$

$\Rightarrow \alpha =4$

& $1=\frac{\beta }{4}\Rightarrow \beta =4$

$\Rightarrow$ equation $\frac{x}{4}+\frac{y}{4}=1$

$\Rightarrow x+y=4$.