The equation of the line passing through the point of intersection of the lines `2x+y=5` and `y=3x-5` and which is at the minimum distance from the point `(1,2)` is

The equation of the line which passes through the point of intersection of the liens x+2y+2=0 and 2x+5y+3=0 and which is at the maximum distance from the point (-2,-3) is

Find the equation of the straight line passing through the point of intersection of the lines x-y+1=0 and 2x-3y+5=0 and at a distance 7/5 from the point (3, 2)

The equation of the line passing through the point of intersection of the lines 2x+y-4=0, x-3y+5 =0 and lying at a distance of sqrt5 units from the origin, is

Find the equations of the line passing through the point of intersection of the lines 3x-2y+4 = 0 , 2x-5y = 1 and whose distance from (2, –1) is 2 .

Find the equation of the line drawn through the point of intersection of the lines x-y=7 and 2x+y=2 and passing through the origin.

The equation of the line passing through the point of intersection of the line x-3y+2=0 and 2x+5y-7=0 and perpendicular to the line 3x+2y+5=0 is

The equation of a plane passing through the line of intersection of the planes x+2y+3z=2 and x-y+z=3 and at a distance (2)/(sqrt(3)) from the point (3,1,-1) is