The circle C C\,C has equation (x−5)2+(y−6)2=5(x - 5)^2 + (y - 6)^2 = 5(x−5)2+(y−6)2=5. The point A(3,7)A(3, 7)A(3,7) lies on the circle CCC.
Show that the line y=2x+1y = 2x + 1y=2x+1 is a tangent to the circle C C\,C at the point AAA.
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.