plumiEquations of planes: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 6.2 Equations of planes, 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 Equations of planes, as a list
- June 2025, Pure Core 1, Q5 (8 marks): K O K O K O 5 A vector equation of the plane P is r 4 1 1 OO. = + + KK OO m KK OO n KK 1 3 1 0 - L P L P L P (a) Verify that a cartesian equation of P is x y 2
- June 2023, Pure Core 1, Q8 (15 marks): The points P, Q and R have coordinates (0, 2, 3), (2, 0, 1) and (1, 3, 0) respectively. The acute angle between the line segments PQ and PR is i. 2 (a) Show tha
- June 2023, Pure Core 2, Q6 (8 marks): K O K O K O 6 The equation of the plane % is r 2 4 3 OO. = + + KK OO m KK OO n KK 1 3 1 L P L P L P J N 2 K O (a) Find the acute angle between % and the plane w
- June 2022, Pure Core 2, Q10 (8 marks): The coordinates of the points A and B are (3, -2, -1) and (13, 10, 9) respectively. • The plane %A contains A and the plane %B contains B. • The planes %A and %
- November 2021, Pure Core 2, Q3 (9 marks): K O K O 3 The line l1 has equation r 3 2 OO. = - KK OO + m KK 3 2 - L P L P J N 2 K O The plane P has equation r. 5 4 . KK - OO = 3 - L P (a) Find the position
- November 2020, Pure Core 2, Q4 (9 marks): The equations of two intersecting lines l1 and l2 are J N J N J N J N 1 2 7 1 - K O K O K O K O l : r 0 1 l : r 9 1 = KK OO + m KK OO = KK OO + n KK OO 1 2 a 3
- June 2019, Pure Core 1, Q8 (6 marks): The equation of a plane is x 4 2 y z 7 . + + = The point A has coordinates (9, 6, 1) and the point B is the reflection of A in the plane. Find the coordinates o
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