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O-LevelMathematicsGeometry4024/22 · May/June 2017 · Q1012 Marks

The diagram shows the position of point A. Point B is 8 cm from A on a bearing of 062°. Point C is 6.5 cm from A on a bearing of 194°. [Figure of North direction and point A]

  1. (a)(i)Find and label B and C.[3]
  2. (a)(ii)Point D is the point on BC that is the shortest distance from A. Find and label D.[1]
  3. (a)(iii)Measure AD.[1]
  4. (a)(iv)By taking measurements, find the ratio CD : DB. Give your answer in the form 1 : n.[2]
  5. (a)(v)The area of triangle ADB is wcm². Giving your answer in terms of w, find the area of triangle ADC.[1]
  6. (b)The diagram shows the positions of A, E and F. Construct and shade the region inside triangle AEF that is • less than 6 cm from E • nearer to AF than to AE • nearer to A than to F. [Figure of triangle AEF][4]

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About this question

Topic
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 12 marks.
Source
O-Level Mathematics, May/June 2017 Paper 2 Variant 2, question 10.

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