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1.6 C: Coordinate geometry in the (x, y) plane

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Question 18

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 t≥0t \geq 0t≥0

a.

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

[3]
b.

Show that the xxx-coordinate of every point on C C\,C satisfies 12≤x<2\displaystyle \frac{1}{2} \leq x < 221​≤x<2.

[2]
Markscheme

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, 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). Each one has a worked solution and a mark scheme showing where the marks go.

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