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.
76 exam-style questions on WJEC A Level Maths 1.3 Coordinate geometry in the (x, y) plane, covering 1.3.1 Coordinate geometry in the (x, y) plane, 1.3.2 Coordinate geometry in the (x, y) plane, 1.3.3 Coordinate geometry in the (x, y) plane, and 1.3.4 Coordinate geometry in the (x, y) plane. Each one has a worked solution and a mark scheme showing where the marks go.