Pure Mathematics 1 — Variant 3

A Level Mathematics · 9709/13 · Oct/Nov 2023

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Questions

1 of 11 questions shown here, checked against the paper. The others are in the PDF above — they contain diagrams or maths we could not yet verify, and we would rather show you the original than a transcription we are not sure of.

2
The circle with equation (x−3)2+(y−5)2=40(x - 3)^{2} + (y - 5)^{2} = 40 intersects the yy-axis at points AA and BB.
2(a) [2]
Find the yy-coordinates of AA and BB, expressing your answers in terms of surds.
2(b) [2]
Find the equation of the circle which has ABAB as its diameter.

Published by Cambridge Assessment International Education. Reproduced for study use.