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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 8

A curve C C\,C has the parametric equations

x=tan⁡2tx = \tan^2 tx=tan2t, y=cos⁡ty = \cos ty=cost, where 0<t<π2\displaystyle 0 < t < \frac{\pi}{2}0<t<2π​

a.

Show that a Cartesian equation for C C\,C is

y2(x+1)=1y^2(x + 1) = 1y2(x+1)=1

[4]
b.

State, using set notation, the domain and the range of CCC.

[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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