The lines with equations y=xy = xy=x and y=−xy = -xy=−x are tangents to a circle at (3,3)(3, 3)(3,3) and (3,−3)(3, -3)(3,−3) respectively.
Find an equation for the circle.
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.