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Edexcel IAL Mathematics P4.3.1 parametric equations

Practise converting parametric curves to Cartesian form, finding restrictions, coordinates, constants and intersections using algebraic elimination.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • eliminate t from parametric equations to form Cartesian equations with valid restrictions
  • find curve points or line intersections by substituting y=0 or a line into the parameters
  • use trigonometric identities to convert sin and cos parameters without trig terms

P4.3.1 - Parametric equations of curves and conversion between question 1

[Maximum number: 1]
Figure 3

Figure 3

Figure 3 shows a sketch of the curve C with parametric equations

x=6t−3sin⁡2ty=2cos⁡t0⩽t⩽π2x=6 t-3 \sin 2 t \quad y=2 \cos t \quad 0 \leqslant t \leqslant \frac{\pi}{2}

The curve meets the y-axis at 2 and the x-axis at k, where k is a constant.

State the value of k.

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