Question

The equation of the line which passes through the point $(1,-2)$ and cuts off equal intercept from the axes is

• A. $x+y=1$
• B. $x-y=1$
• C. $x+y+1=0$
• D. $x-y-2=0$

Answer 1

The correct option is C $x+y+1=0$

Let the equation of line be

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

As per question line make equal intercep from the axis:

$\therefore a=b$

Above Equation becomes

$\frac{x}{a}+\frac{y}{a}=1⟹x+y=a$

since the line passes through the point $(1,-2)$

$⟹1-2=a⟹a=-1$

Therefore the equation is

$x+y=-1⟹x+y+1=0$