Question

The equation of a straight line equally inclined to the axis and equidistant from the points $(1,-2)$ and $(3,4)$ is

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

Answer 1

The correct option is D $x-y-1=0$

All the lines given in four options are equally inclined to the axis.

Middle point of the line joining points $(1,-2)$ and $(3,4)$ is $(2,1)$ which lies on line $x-y-1=0$