Question

The equation of a straight line passing through $(-3,2)$ and cutting an intercept equal in magnitude but opposite in sign from the axes is given by

• A. $x-y+5=0$
• B. $x+y-5=0$
• C. $x-y-5=0$
• D. $x+y+5=0$

Answer 1

The correct option is A $x-y+5=0$

Let the length of the intercept by the straight line from both the co-ordinate axes be $a$.

The equation of the line be in the form

$\frac{x}{a}+\frac{y}{-a}=1$

$\Rightarrow x-y=a$.........(1).

According to the problem the line (1) passes through $(-3,2)$, then

$a=-5$.

So the equation of the line be $x-y+5=0$.