2025 ESSS P1 Q3

2025 ESSS P1 Q3

Secondary 4
4 marks

Circle \(C\) has equation \(x^2+y^2+4x-2y-20=0\).

  1. Find the radius and the coordinates of the centre of the circle.[3]
  2. Hence, show that the centre of the circle lies on the line \(y=7x+15\).[1]

Solution:

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Answer:(a) Radius \(5\), centre \((-2,1)\). (b) \(1=7(-2)+15\) (shown).

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