To work out which case you have, use algebra to work out how many points of intersection there are. If the line cuts through the circle, there will be two points of intersection If the line is a ...

Show that the line \(y = 2x + 1\) intersects the circle \({x^2} + {y^2} - 6x - 7y + 9 = 0\) and determine the points of intersection. Therefore the line \(2x + 1 ...