Question

If the point (5,2) bisects the intercept of a line between the axes, find its equation .

Answer 1

R.E.F. Image.

Since the point

C(5,2) bisects the line AB.

$\therefore$ C is the mid - point of AB

$\therefore \frac{a+0}{2}=5,\frac{0+b}{2}=2$

$\therefore a=10,b=4$

$E{q}^n.ofline:\frac{x}{a}+\frac{y}{b}=1$

$\therefore \frac{x}{10}+\frac{y}{4}=1$