A line passes through the origin and makes an angle of `pi/4` with the line `x-y+1=0`. Then :

The joint equation of pair of lines passing through the origin and making an angle of 45^(@) with the line 3x+y=0 is

Find the equation of the line passing through the point (4,5) and making an angle of pi/4 with the line 2x-y+7=0 .

The equation of the line passing through (1, 1) and makes an angle pi//4 with the line 2x-y+7=0 is

The equation of the line passing through (1,1) and makes an angle pi//4 with the line 2x-y+7=0 is

The equation of the pair of lines passing through origin and making an angle of 30 degrees with the line 3x-y-1=0 is

The equation of straight line passing through the origin and making an angle alpha with the straight line x+y=0 is

The combined equation of the lines which pass through the origin and eahc of which makes an angle of 30^(@) with the line 2x-y=0 is