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4 marksCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · 2021 · Paper 2 · Question 4(a)(i)

A circle has equation x² + y² - 4x + 10y - 8 = 0.

Determine the centre and radius of the circle.

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Other parts of this question

  1. 4(a)(ii)Determine the equation of the tangent which touches the circle at (3, 11).[4 marks]
  2. 4(b)Show that the curve whose parametric equations are x = 3 + 3 sin θ and y = 3 cos θ represents a circle.[5 marks]
  3. 4(c)Determine the angle between OA and OB.[8 marks]
  4. 4(d)Determine the vector equation of a plane which passes through the point (2, 5, 3) and is perpendicular to the vector 4i + 4j - k.[4 marks]

More practice: the rest of this paper · more Co-ordinate Geometry questions · all CAPE Pure Mathematics Unit 1 past papers