Question

The equation of the straight line which passes through the point (1, - 2) and cuts off equal intercepts from 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

The equation of line which cuts off equal intercepts from axes a (say) is $\frac{x}{a}+\frac{y}{a}=1$ or $x+y=a$
But it is passes through (1, -2), therefore $1-2=a\Rightarrow a=-1$.
Hence the equation of straight line is x+y+1=0 .