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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · 2022 · Paper 2 · Question 9(a)(ii)a)

H, J, K, L and M are points on the circumference of a circle with centre O. MK is a diameter of the circle and it is parallel to HJ. MJ = JL and angle JMK = 38^\circ.

Determine the value of Angle MLJ. Show detailed working where appropriate.

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Other parts of this question

  1. 9(a)(i)a)Explain, giving a reason, why angle HJM = 38^\circ.[1 mark]
  2. 9(a)(i)b)Explain, giving a reason, why angle MJK = 90^\circ.[1 mark]
  3. 9(a)(ii)b)Determine the value of Angle LJK.[1 mark]
  4. 9(a)(ii)c)Determine the value of Angle JHM.[1 mark]
  5. 9(b)(i)Complete the diagram above by inserting the value of angle RLT.[1 mark]
  6. 9(b)(ii)Calculate RT, the distance between the two ships.[2 marks]
  7. 9(b)(iii)Determine the bearing of T from R.[3 marks]

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