Question

The portion of a line intercepted between the coordinate axes is divided by the point $(-3,4)$ in the ratio $2:3$. The equation of the line is

• A. $2x-y+10=0$
• B. $2x+y+10=0$
• C. $2x-y-10=0$
• D. $x+2y-10=0$

Answer 1

The correct option is A $2x-y+10=0$

$\Rightarrow \frac{2k}{5}=4$

here,

$h=-5k=10$

Equation of line $\frac{x}{-5}+\frac{y}{10}=1$

hence,

$2x-y+10=0$

So,option $A$ is correct.