The curve C C\,C has parametric equations
x=3−2tt+1\displaystyle x = \frac{3 - 2t}{t + 1}x=t+13−2t, y=3t+1t+1\displaystyle y = \frac{3t + 1}{t + 1}y=t+13t+1, where 0≤t≤50 \leq t \leq 50≤t≤5
Show that C C\,C is part of a straight line.
Find the exact length of this line segment.
75 exam-style questions on CCEA A Level Maths 3.2 Co-ordinate geometry in the (x, y) plane (A-level only), covering 3.2.1 Co-ordinate geometry in the (x, y) plane (A-level only) and 3.2.2 Co-ordinate geometry in the (x, y) plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.