2026 IGCSE Additional Mathematics May/June 0606/11 Q2

2026 IGCSE Additional Mathematics May/June 0606/11 Q2

4 marks

A circle has equation \((x-3)^2+(y-4)^2=20\).

  1. Write down the coordinates of the centre of the circle.[1]
  2. Write down the radius of the circle.[1]
  3. The line \(AB\) is a diameter of this circle.
    The point \(A\) has coordinates \((-1,6)\).
    Find the coordinates of the point \(B\).[2]

Solution:

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Answer:(a) \((3,4)\) (b) \(2\sqrt5\) (c) \((7,2)\)

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