A-level · Coordinate geometry

Intersections of parametric curvesExam-style questions

Finding where a parametric curve meets the coordinate axes, a given line, or another curve — by solving for the parameter — and using a repeated root to detect a tangent.

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

DifficultyAll Level 2 Level 3

1
A curve has parametric equations $x = t + 3,\ y = t^2 - 4$ .
(a) Find the coordinates of the points where the curve meets the $x$ -axis.
(b) Find the coordinates of the point where the curve meets the $y$ -axis.
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