2025 IGCSE Additional Mathematics October/November 0606/21 Q5

2025 IGCSE Additional Mathematics October/November 0606/21 Q5

5 marks

Solutions to this question by accurate drawing will not be accepted.

A circle has centre \((4,2)\) and meets the \(x\)-axis at \((-2,0)\).

  1. Find the equation of the circle.[2]
  2. Find, in exact form, the coordinates of the points where the circle meets the \(y\)-axis.[3]

Solution:

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Answer:(a) \((x-4)^2+(y-2)^2=40\) (b) \((0,2\pm2\sqrt6)\)

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