A curve C C\,C has the parametric equations
x=t2x = t^2x=t2, y=2ty = 2ty=2t, where t≥0t \geq 0t≥0
Find a Cartesian equation for CCC.
Find the coordinates of the points where C C\,C meets the line y=xy = xy=x.
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.