The lines with equations y=25x\displaystyle y = \frac{2}{5}xy=52x and y=−25x\displaystyle y = -\frac{2}{5}xy=−52x are tangents to a circle at (5,2)(5, 2)(5,2) and (5,−2)(5, -2)(5,−2) 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.