The equation of a line of the system `2x+y+4+lambda(x-2y-3)=0` which is at a distance `sqrt(10)` units from point `A(2,-3)` is

Find the equation of a line parallel to the line x+2y-1=0, which is at a distance of 2sqrt(5) units from the point (1,3) .

Find the equation of a line perpendicular to the line 3x-y-5=0, which is at a distance of 2 sqrt(10) units froms the points (1,-1).

Find the points on the line 4x-3y-10=0 which are at a distance of 5 units from the point (1,-2)

The coordinates of a point on the line x + y + 1 = 0 which is at a distance sqrt(2) units from the line 3x + 4y - 2 = 0 are

Find the points on the line 3x-4y-1=0 which are at a distance of 5 units from the point (3,2).

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