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3.3 Coordinate geometry in the (x, y) plane (A-level only)

3.3 Coordinate geometry in the (x, y) plane (A-level only)

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Question 5

A curve C C\,C has the parametric equations

x=2sin⁡2tx = 2\sin^2 tx=2sin2t, y=sin⁡2ty = \sin 2ty=sin2t, where 0<t<π0 < t < \pi0<t<π

a.

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

y2=2x−x2y^2 = 2x - x^2y2=2x−x2

[4]
b.

State the set of values of x x\,x for which C C\,C is defined, and describe C C\,C geometrically.

[2]
Markscheme

3.3 Coordinate geometry in the (x, y) plane (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Coordinate geometry in the (x, y) plane (A-level only)

76 exam-style questions on WJEC A Level Maths 3.3 Coordinate geometry in the (x, y) plane (A-level only), covering 3.3.1 Coordinate geometry in the (x, y) plane (A-level only) and 3.3.2 Coordinate 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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