The equation of a line which makes an angle of 45^ with each of the pair of lines x y-x-y+1=0 is

Step-by-step solution

Given pair of lines : x y-x-y+1=0 x(y-1)-1(y-1)=0 (x-1)(y-1)=0 lines are x-1=0 and y-1=0 Let required line be y=m x+ c Now, angle between y-1=0 and y=m x+c is 45^ 45^ = | m-0 1+0 | m=1 So, all the lines parallel to y=x+c makes 45^ with the given pair of lines So, according to option x-y=5 is correct.