Question

The intercept of a straight line, cut by axes is divided in the ratio $1:2$ at its point $(-5,4)$ then the equation to the straight line will be_

• A. $5x-8y+65=0$
• B. $8x-5y+60=0$
• C. $5x+8y-7=0$
• D. $8x+5y+20=0$

Answer 1

The correct option is B $8x-5y+60=0$

$\text{Let}x\text{and}y\text{intercepts of required line}$

$\text{be}(a,0)\text{and}(0,b)$

$\text{using internal division formula for a}$

$\text{straight line: we get}$

$\frac{2\times a+1\times 0}{3}=-5\Rightarrow a=-\frac{15}{2}$

$\text{so equation of required line can be written as}$

$\frac{2x}{-15}+\frac{y}{12}=1\Rightarrow 8x-5y+60=0$

$\therefore$ Answer: option (B)