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.
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.