plumiThe equation of a circle: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 3.8 The equation of a circle, 2021–2025, with its mark scheme and examiner’s report.
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All 7 questions on The equation of a circle, as a list
- June 2025, Paper 1, Q22 (6 marks): A circle has centre (2, 3) and radius 5 A straight line passes through (3, 7) and has a gradient of 2 Work out the coordinates of the two points where the circl
- June 2024, Paper 2, Q12 (6 marks): The equation of a circle is (x – 2)2 + ( y + 3)2 = 16 The equation of a line is y = 4 – x The circle and line intersect at two points, A and B. 12 (a) Show that
- June 2024, Paper 2, Q20 (5 marks): AB is the tangent to the circle (x – 3)2 + (y – 4)2 = 29 at the point (5, 9) Work out the area of triangle AOB. Answer square units
- June 2023, Paper 2, Q6 (2 marks): The equation of a circle is (x + 7)2 + (y – 4)2 = 36 Complete these statements. The coordinates of the centre of the circle are ( , ) The radius of the circle i
- June 2022, Paper 2, Q13 (3 marks): A (–2, 5) and B (4, 13) are points on a circle. AB is a diameter. Work out the equation of the circle. Give your answer in the form ( x – a)2 + ( y – b)2 = c wh
- November 2021, Paper 1, Q12 (5 marks): A circle, centre C (4, –2), passes through the origin and point A (8, 0) on the x-axis. The tangent at A is shown. 12 (a) Work out the equation of the circle. A
- Specimen, Paper 1, Q11 (3 marks): A circle, centre C, touches the y-axis at the point (0, 2) The line y = k intersects the circle at the points (1, k) and (5, k) y Not drawn accurately x C (5, k
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