plumiPolar curves: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 7.1 Polar curves, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 7 questions on Polar curves, as a list
- June 2024, Pure Core 2, Q6 (11 marks): J N 1 1 KKK OOO for 0 6 In polar coordinates, the equation of a curve, C, is r 6 sin ( 2 ) sinh r. = G G i i i 3 2 L P The pole of the polar coordinate system c
- June 2022, Pure Core 1, Q5 (11 marks): ^ h for 0 5 The diagram below shows the curve C with polar equation r 3 1 sin 2i 2 r. = - G i G C 0 i = O ^ h 2 3 2 4 (a) Show that a cartesian equation of C is
- June 2022, Pure Core 2, Q2 (5 marks): Two polar curves, C1 and C2, are defined by C r : 2 and C r : + where 0 1 2 r. = i = i G i G 1 2 C1 intersects the initial line at two points, the pole and the
- November 2021, Pure Core 1, Q7 (9 marks): 7 The diagram below shows the curve with polar equation r sin 3i for 0 r. = G G i 3 0 i = O (a) Find the values of i at the pole. [1] (b) Find the polar coordin
- November 2020, Pure Core 1, Q11 (8 marks): 3 11 A curve has cartesian equation x y 2 xy . + = C is the portion of the curve for which x 0 and y 0 . The equation of C in polar form is given H H 1 by r f i
- November 2020, Pure Core 2, Q6 (6 marks): The equation of a curve in polar coordinates is r ln ( 1 sin ) for b where a and b are = + i a G i G non-negative angles. The curve consists of a single closed
- June 2019, Pure Core 2, Q9 (11 marks): In this question you must show detailed reasoning. 1 e cos The diagram below shows the curve r sin i for 0 G r. = G i i 3 i = 0 O (a) Find the exact area enclos
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