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Pearson Edexcel IAL Mathematics P4.3 Coordinate geometry in the (x, y) plane Question Bank

Practise converting parametric curves into Cartesian form and using algebra to locate points, ranges and intersections.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • eliminate t from parametric equations to form a Cartesian equation without trig terms
  • find intercepts or intersection points by substituting curve parameters into a line equation

Covered syllabus points

P4.3.1 - Parametric equations of curves and conversion between

P4.3 - Coordinate geometry in the (x, y) plane 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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