The lines with equations y=23x\displaystyle y = \frac{2}{3}xy=32x and y=−23x\displaystyle y = -\frac{2}{3}xy=−32x are tangents to a circle at (3,2)(3, 2)(3,2) and (3,−2)(3, -2)(3,−2) respectively.
Find an equation for the circle.
Practise Edexcel AS Level Maths Circles with exam-style questions for AS Level Maths. 28 questions 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, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.