The curve C C\,C has parametric equations
x=2t+1t+2\displaystyle x = \frac{2t + 1}{t + 2}x=t+22t+1, y=4t−1t+2\displaystyle y = \frac{4t - 1}{t + 2}y=t+24t−1, where 0≤t≤40 \leq t \leq 40≤t≤4
Show that C C\,C is part of a straight line.
Find the exact length of this line segment.
76 exam-style questions on WJEC A Level Maths 3.3 Coordinate geometry in the (x, y) plane (A-level only), covering 3.3.1 Coordinate geometry in the (x, y) plane (A-level only) and 3.3.2 Coordinate geometry in the (x, y) plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.