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

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Question 49

The curve C C\,C has parametric equations

x=3+2cos⁡tx = 3 + 2\cos tx=3+2cost, y=2+4cos⁡2ty = 2 + 4\cos 2ty=2+4cos2t, where 0≤t≤2π0 \leq t \leq 2\pi0≤t≤2π

a.

Find an equation for C C\,C in the form y=f(x)y = f(x)y=f(x), and state the domain for which the curve is defined.

[4]
b.

State the coordinates of the minimum point of CCC, and explain why C C\,C has no point at which y>6y > 6y>6.

[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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