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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · January 2017 · Paper 2 · Question 10(a)(i)

A diagram shows a circle with center O. Vertices H, J, K and L of a quadrilateral lie on the circumference. PKM is a tangent to the circle at K. Angle HJL = 20° and JKH = 50°.

Calculate, giving reasons for each step of your answer, the measure of HKL

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Other parts of this question

  1. 10(a)(ii)Calculate, giving reasons for each step of your answer, the measure of JÔK[2 marks]
  2. 10(a)(iii)Calculate, giving reasons for each step of your answer, the measure of JÂK.[2 marks]
  3. 10(b)(i)Indicate on the diagram the bearing 030° and the distances 90 km and 310 km.[2 marks]
  4. 10(b)(ii)Calculate, to the nearest km, the distance between Bellville (B) and Comptin (C).[2 marks]
  5. 10(b)(iii)Calculate, to the nearest degree, the measure of ABC.[2 marks]
  6. 10(b)(iv)Determine the bearing of Comptin (C) from Bellville (B).[3 marks]

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