Mathematics Pure Math 1 9709: COORDINATES GEOMETRY Topical Past Paper Questions
Cambridge AS & A Level Mathematics Pure Math 1 (9709) past-paper questions on COORDINATES GEOMETRY, free. This topic is frequently examined across 23 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
In the diagram, AB is a chord of the circle with equation $ (x-6)^2 + (y-3)^2 = 20 $. The two tangents to the circle with equations $ y = 2x + 1 $ and $ y = -2x + 25 $ meet the circle at the points A and B respectively. (a) Find the coordinates of the points $A$ and $B$. b) Hence…
A circle has centre (2, 6) and radius 10. (a) State the equation of the circle. [2] (b) The circle passes through the point $ (8, k) $. Find the two possible values of k. [3]
Points A and B have coordinates (4, 3) and (8, -5) respectively. A circle with radius 10 passes through the points A and B. (a) Show that the centre of the circle lies on the line $ y=\frac{1}{2}x-4 $. [4] (b) Find the two possible equations of the circle. [5]
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