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1.3 Coordinate Geometry in the x-y Plane

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Question 8

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+1​y=t+24t−1​0≤t≤4
a.

Show that C C\,C is part of a straight line.

[3]
b.

Find the length of the line segment.

[2]
Markscheme

1.3 Coordinate Geometry in the x-y Plane Questions

  1. A Level
  2. /Maths
  3. /1.3 Coordinate Geometry in the x-y Plane

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.

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