plumiPolar curves: OCR MEI A‑Level Further Maths questions
OCR MEI 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 8 questions on Polar curves, as a list
- June 2025, Core Pure, Q6 (9 marks): 2 2 6 The figure below shows the curve with cartesian equation ( x y ) xy . + = y x O 2 (a) Show that the polar equation of the curve is r a sin b , where a and
- June 2024, Core Pure, Q9 (8 marks): A curve has polar equation r a sin 3i , for 0 G r, where a is a positive constant. = i G (a) Sketch the curve. Indicate the parts of the curve where r is negati
- June 2023, Core Pure, Q7 (6 marks): The diagram below shows the curve with polar equation r a 1 ( 2 sin ) for 0 2 r where , i = - i G G a is a positive constant. O A = 0 θ B C The curve crosses th
- June 2022, Core Pure, Q5 (7 marks): (a) Sketch the polar curve r a 1 ( cos ), 0 2 , where a is a positive constant. [2] 1 = - i i r G (b) Determine the exact area of the region enclosed by the cur
- June 2022, Further Pure with Technology, Q1 (20 marks): (a) A family of curves is given by the equation 2 2 x y 2 axy = (*) 1 + + where the parameter a is a real number. You may find it helpful to use a slider (for a
- November 2021, Core Pure, Q14 (14 marks): A curve has polar equation r a ( cos 2 sin ) , where a is a positive constant and 0 G r. = i + i i G (a) Determine the polar coordinates of the point on the cur
- November 2020, Core Pure, Q5 (8 marks): Fig. 5 shows the curve with polar equation r a 3 ( 2 cos ) for , where a is a = + i - r G i G r constant. B A O = 0 i Fig. 5 (a) Write down the polar coordinate
- June 2019, Core Pure, Q7 (8 marks): ^ h 2 2 2 2 7 A curve has cartesian equation x y 2 c xy , where c is a positive constant. + = 2 2 (a) Show that the polar equation of the curve is r c sin 2 . [
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