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

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Question 19

A curve C C\,C has the parametric equations

x=sin⁡2tx = \sin^2 tx=sin2t, 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=4x(1−x)y^2 = 4x(1 - x)y2=4x(1−x)

[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

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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