Show that lines `x-2y-7=0`and `2x-4y+15=0`are parallel to each other.

Show that lines x-2y-7=0 and 2x+y+1=0 are perpendicular to each other. Find their point of intersection.

The equation of a line passing through the point if intersection of the lines 4x-3y -1 =0 and 5x -2y -3 =0 and parallel to the line 2y -3x + 2 = 0 is

Show that lines 3x-4y+5=0,7x-8y+5=0 and 4x+5y-45=0 are concurrrent.Find their point of concurrence.

If the lines 2x+3ay-1=0 and 3x+4y+1=0 are matually perpendicular, then the value of a will be

Find the equation of the line passing through the point of intersection of the lines x+2y-5=0 and 3x+7y-17=0 and is perpendicular to the line 3x+4y-10=0

Find the equations of the tangents to the curve x^2 + y^2 -2x -4y +1 = 0 which are parallel to the X-axis.

Find the equation of the straight line passing through the intersection of the lines x-2y=1 and x+3y=2 and parallel to 3x+4y=0.