plumiCoordinate geometry in the (x, y) plane: Edexcel International A Level Maths questions
Every Edexcel International A Level Maths exam question on P4.3 Coordinate geometry in the (x, y) plane, 2019–2025, with its mark scheme and examiner’s report.
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All 11 questions on Coordinate geometry in the (x, y) plane, as a list
- June 2025, Pure 4 (P4), Q5 (9 marks): The curve C has parametric equations x t t y t t 3 2 1 1 1 2 The point P, where t = 2, lies on C. (a) Use parametric differentiation to find the equation of the
- January 2025, Pure 4 (P4), Q9 (12 marks): y P x O l C Figure 2 In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Figure 2
- January 2024, Pure 4 (P4), Q9 (12 marks): y C O x Figure 4 Figure 4 shows a sketch of the curve C with parametric equations x t y t t sec tan 3 3 6 2 < < (a) Find d d y x in terms of t (b)
- January 2023, Pure 4 (P4), Q2 (6 marks): A set of points P(x, y) is defined by the parametric equations x t t y t t = − + = + ≠− 1 2 1 6 2 1 1 2 (a) Show that all points P(x, y) lie on a straight line.
- October 2022, Pure 4 (P4), Q1 (3 marks): A curve C has parametric equations x = t t −3 y = 1 t + 2 t ∈ t > 3 Show that all points on C lie on the curve with Cartesian equation y = ax bx −1 where a an
- June 2022, Pure 4 (P4), Q7 (12 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. The curve C has parametric eq
- January 2022, Pure 4 (P4), Q3 (9 marks): The curve C has parametric equations x = 3 + 2 sin t y = 6 7 2 + cos t −2 π t 2 π (a) Show that C has Cartesian equation y = 12 7 1 ( )( ) − + x x p x q
- October 2021, Pure 4 (P4), Q5 (9 marks): C x O y Figure 1 Figure 1 shows a sketch of the curve C with parametric equations x = 5 + 2 tan t y = 8 sec2 t −3 π t 4 π (a) Use parametric differentiation
- June 2021, Pure 4 (P4), Q6 (10 marks): x O R y Figure 3 Figure 3 shows a sketch of the curve C with parametric equations x = 2 cos 2t y = 4 sin t 0 t 2 π The region R, shown shaded in Figure 3, i
- January 2021, Pure 4 (P4), Q4 (7 marks): The curve C is defined by the parametric equations x t y t t t = + = − + > 1 2 1 2 3 0 (a) Show that the equation of C can be written in the form y = g(x) where
- October 2020, Pure 4 (P4), Q4 (12 marks): A y B O x Figure 2 Figure 2 shows a sketch of part of the curve with parametric equations x = 2t2 − 6t, y = t 3 − 4t, t ∈ The curve cuts the x-axis at the ori
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