The number of lines passing through `(1, 1)` and intersecting a segment of length `2` unit between the lines `x+y=1`and `x + y = 3` is

A line passes through (x_(1),y_(1)) .This point bisects the segment of the line between the axes.Its equation is-

If a straight line passes through the point (-5,4) and makes an intercept of length 2/sqrt(5) between the lines x+2y+1=0 and x+2y -1 =0 , then equation of that line is

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

The equation of plane passing through (2,1,0) and line of intersection of planes x-2y+3z=4 and x-y+z=3 is