The lines with equations y=35x\displaystyle y = \frac{3}{5}xy=53x and y=−35x\displaystyle y = -\frac{3}{5}xy=−53x are tangents to a circle at (5,3)(5, 3)(5,3) and (5,−3)(5, -3)(5,−3) respectively.
Find an equation for the circle, giving your answer in exact form.
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.