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CSEC Additional Mathematics · 2012 · Paper 2 · Question 3(a)(i)

The equation of a circle is x² + y² - 4x + 6y = 87.

A line has equation x + y + 1 = 0. Show that this line passes through the centre of the circle.

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Other parts of this question

  1. 3(a)(ii)Find the equation of the tangent to the circle at the point A (-6, 3).[4 marks]
  2. 3(b)(i)Write BP in terms of a and b.[2 marks]
  3. 3(b)(ii)Find |BP|.[3 marks]

More practice: the rest of this paper · more Centre and Radius of a Circle questions · all CSEC Additional Mathematics past papers