The circle C C\,C has centre (5,k)(5, k)(5,k), where k k\,k is a constant.
The line with equation y=2x+1y = 2x + 1y=2x+1 is a tangent to CCC, touching C C\,C at the point A(3,7)A(3, 7)A(3,7).
Find an equation for CCC.
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.