The curve C C\,C has the parametric equations
x=3t−1x = 3t - 1x=3t−1, y=t2+2y = t^2 + 2y=t2+2
The point P(5,k)P(5, k)P(5,k) lies on CCC.
Find the value of the parameter t t\,t at P P\,P and the value of kkk.
143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.