The curve C C\,C has parametric equations
x=4t+2t+1y=t−3t+10≤t≤4 x = \frac{4t + 2}{t + 1} \quad y = \frac{t - 3}{t + 1} \quad 0 \leq t \leq 4 x=t+14t+2y=t+1t−30≤t≤4Show that C C\,C is part of a straight line.
Find the length of the line segment.
Practise AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane with exam-style questions for A Level Maths. 110 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
