2025 WGS P1 Q1

2025 WGS P1 Q1

Secondary 4
3 marks

Circle \(C\) has equation \((x+1)^2+(y-3)^2=36\).

  1. Write down the radius and the coordinates of the centre of the circle.[2]
  2. Explain why any line that passes through the point \((-1,1)\) will intersect circle \(C\) at two points.[1]

Solution:

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Answer:(a) Radius \(6\), centre \((-1,3)\). (b) The point lies inside the circle.

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