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3.2 Co-ordinate geometry in the (x, y) plane (A-level only)

3.2 Co-ordinate geometry in the (x, y) plane (A-level only)

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Question 6

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

a.

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

[3]
b.

Find the exact length of this line segment.

[2]
Markscheme

3.2 Co-ordinate geometry in the (x, y) plane (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Co-ordinate geometry in the (x, y) plane (A-level only)

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.

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