Thank you for reporting, we will resolve it shortly
Q.
If a straight line passing through $\left( x _1, y _1\right)$ and its segment between the axes is bisected at this point, then its equation is given by
Straight Lines
Solution:
Let $x$ and $y$ intercept are $a$ and $b$
$\therefore x_1=\frac{0+a}{2} \Rightarrow a=2 x_1$ and
$y_1=\frac{0+b}{2} \Rightarrow b=2 y_1$
$\therefore$ Equation of line is $\frac{x}{a}+\frac{y}{b}=1$
$\therefore \frac{x}{2 x_1}+\frac{y}{2 y_1}=1 \Rightarrow \frac{x}{x_1}+\frac{y}{y_1}=2$
