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.
67 exam-style questions on CCEA A Level Maths 1.2 Co-ordinate geometry in the x, y plane, covering 1.2.1 Co-ordinate geometry in the x, y plane, 1.2.2 Co-ordinate geometry in the x, y plane, 1.2.3 Co-ordinate geometry in the x, y plane, 1.2.4 Co-ordinate geometry in the x, y plane, 1.2.5 Co-ordinate geometry in the x, y plane, 1.2.6 Co-ordinate geometry in the x, y plane, 1.2.7 Co-ordinate geometry in the x, y plane, and 1.2 Co-ordinate geometry in the x, y plane. Each one has a worked solution and a mark scheme showing where the marks go.