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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2018 · Paper 2 · Question 9(b)(ii)

The diagram below, not drawn to scale, shows a circle, with centre O. The points A, B, C and M are on the circumference. The straight line CN is a tangent to the circle at the point C and is perpendicular to BN.

Determine, giving a reason for your answer, ∠CMB

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Other parts of this question

  1. 9(a)(i)Determine the bearing of B from F.[1 mark]
  2. 9(a)(ii)Calculate the distance BG, giving your answer to one decimal place.[2 marks]
  3. 9(a)(iii)Calculate, to the nearest degree, the bearing of G from B.[3 marks]
  4. 9(b)(i)Determine, giving a reason for your answer, ∠ABC[2 marks]
  5. 9(b)(iii)Determine, giving a reason for your answer, ∠NCM[2 marks]

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