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O-LevelMathematicsCoordinate geometry4024/21 · May/June 2015 · Q27 Marks

Q is the point (−1, 2), R is the point (3, 10) and S is the point (–4, 2).

  1. (a)Calculate the length of QR.[2]
  2. (b)Calculate the value of cos SQR.[2]
  3. (c)(i)A point P (x, y) is such that PQ = PR. Show that x + 2y = 13.[2]
  4. (c)(ii)P is on the line y = 7. Find the coordinates of P.[1]

Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

  1. [2] 8.94; M1 for √(-1-3)² + (2-10)²
  2. [2] -0.447; M1 for 4/√80
  3. [2] x + 2y = 13 oe correctly obtained; M1 for (x – (-1))² + (y − 2)² = (x − 3)² + (y−10)²
  4. [1] (-1,7)

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About this question

Topic
Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 7 marks.
Source
O-Level Mathematics, May/June 2015 Paper 2 Variant 1, question 2.

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