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Any point P with coordinates (\(x,~y\)) on the circumference of a circle can be joined to the centre (0, 0) by a straight line that forms the hypotenuse of a right angle triangle with sides of ...

ie the line cuts the circle at two distinct points, the line is a tangent to the circle or the line misses the circle. To work out which case you have, use algebra to work out how many points of ...