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2 marksEquation of a Circle

CSEC Additional Mathematics · 2019 · Paper 2 · Question 3(a)(ii)

A circle with centre (1, -1) passes through the point (4, 3).

Write the equation of the circle in the form x² + y² + 2fx + 2gy + c = 0.

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Other parts of this question

  1. 3(a)(i)Calculate the radius of the circle.[2 marks]
  2. 3(a)(iii)Determine the equation of the tangent to the circle at the point (4, 3).[3 marks]
  3. 3(b)(i)Calculate p·q.[2 marks]
  4. 3(b)(ii)State the angle between the two vectors p and q.[1 mark]
  5. 3(c)Find the unit vector in the direction of a.[2 marks]

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