Question

Equation of the line which passes through the point (-4,3) and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point, is

• A. 9x+20y+96=0
• B. 20x+9y+96=0
• C. 9x-20y+96=0
• D. None of these

Answer 1

The correct option is C 9x-20y+96=0



By the section formula, we get $a=-\frac{32}{2}$ and $b=\frac{24}{5}$. Hence the required equation is given by
$\frac{x}{-\left(\frac{32}{3}\right)}+\frac{y}{\left(\frac{24}{5}\right)}=1\Rightarrow 9x-20y+96=0$.