The curve C C\,C has parametric equations
x=t−2t+2y=3t+2t+20≤t≤8 x = \frac{t - 2}{t + 2} \quad y = \frac{3t + 2}{t + 2} \quad 0 \leq t \leq 8 x=t+2t−2y=t+23t+20≤t≤8Show that C C\,C is part of a straight line.
Find the length of the line segment.
143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.