The locus of a point that is equidistant from the lines x+y−22=0 and x+y−2=0 is

For any point P(x, y) that is equidistant from the given line, given lines are parallel , so the required line is ax+by+ c1+c22=0 ⇒x+y+-22-22=0⇒2x+2y-32=0