The curve C C\,C has parametric equations
x=2t+1t+2y=4t−1t+20≤t≤4 x = \frac{2t + 1}{t + 2} \quad y = \frac{4t - 1}{t + 2} \quad 0 \leq t \leq 4 x=t+22t+1y=t+24t−10≤t≤4Show that C C\,C is part of a straight line.
Find the length of the line segment.
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.