A circle C C\,C with centre (2,1)(2, 1)(2,1) passes through the point (−1,3)(-1, 3)(−1,3). A line L L\,L passes through the points (1,−4)(1, -4)(1,−4) and (10,2)(10, 2)(10,2).
Show that L L\,L is a tangent to CCC.
143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.