The points (3,2)(3, 2)(3,2) and (3,−2)(3, -2)(3,−2) lie on the circle with equation
(x−133)2+y2=529. (x - \frac{13}{3})^2 + y^2 = \frac{52}{9}. (x−313)2+y2=952.Find equations for the tangents to the circle at (3,2)(3, 2)(3,2) and (3,−2)(3, -2)(3,−2) respectively.
292 exam-style questions on Edexcel A Level Maths Circles, covering 6.1 Midpoints and Perpendicular Bisectors, 6.2 Equation of a Circle, 6.3 Intersections of Straight Lines and Circles, 6.4 Use Tangent and Chord Properties, and 6.5 Circles and Triangles. Each one has a worked solution and a mark scheme showing where the marks go.