A circle is defined by the parametric equations x=k+2cosθx = k + 2 \cos \thetax=k+2cosθ , y=3+2sinθy = 3 + 2 \sin \thetay=3+2sinθ
Find the centre and the radius of the circle in terms of kkk.
215 exam-style questions on Edexcel A Level Maths Parametric Equations, covering 8.1 Parametric Equations, 8.2 Using Trigonometric Identities, 8.3 Curve Sketching, 8.4 Points of Intersection, and 8.5 Modelling with Parametric Equations. Each one has a worked solution and a mark scheme showing where the marks go.