A-level · Coordinate geometry

Converting to Cartesian formExam-style questions

Eliminating the parameter to find the Cartesian equation of a parametric curve, by substitution or rearrangement, and carrying the domain restriction from the parameter through to the Cartesian equation.

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23 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
A curve has parametric equations $x = t^{2} + 1, \; y = t^{4}$ , $\; t \in \mathbb{R}$ .
(a) Find a Cartesian equation of the curve. (3 marks)
(b) State the range of valid $x$ -values, and explain why the Cartesian equation alone describes more of the plane than the curve does. (2 marks)
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