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O-LevelMathematicsCoordinate geometry4024/21 · May/June 2022 · Q117 Marks

P is the point (3, -3) and Q is the point (1, 5).

  1. (a)Calculate the length of PQ.[2]
  2. (b)Find the equation of the perpendicular bisector of PQ.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

  1. [2] 8.25 or 8.246...
  2. M1 for (3-1)² + (-3 – 5)² oe
  3. [5] y = -1/4 x + 1/2 oe
  4. B1 for midpoint (2, 1)
  5. M1 for [grad PQ =] (-3-5) / (3-1) oe soi
  6. M1 for [grad perpendicular =] -1 / their(-4)
  7. M1 for substitution of their (2, 1) into y = (their m)x + c oe

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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 2022 Paper 2 Variant 1, question 11.

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