The circle C C\,C has centre (−2,4)(-2, 4)(−2,4) and passes through the point A(−6,1)A(-6, 1)A(−6,1).
Find an equation for CCC.
Find the gradient of the radius CACACA.
Hence find an equation for the tangent to C C\,C at AAA, giving your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, b b\,b and c c\,c are integers.
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.