2025 IGCSE Additional Mathematics October/November 0606/12 Q7

2025 IGCSE Additional Mathematics October/November 0606/12 Q7

6 marks

The point \(A\) has coordinates \((-2,4)\).

The point \(B\) has coordinates \((6,10)\).

The point \(C\) has coordinates \((12,2)\).

  1. Find the gradients of the lines \(AB\), \(AC\) and \(BC\).[2]
  2. Hence find the equation of the circle which passes through the points \(A\), \(B\) and \(C\).[4]

Solution:

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Answer:(a) \(m_{AB}=\dfrac34,m_{AC}=-\dfrac17,m_{BC}=-\dfrac43\) (b) \((x-5)^2+(y-3)^2=50\)

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