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O-LevelMathematicsCoordinate geometry4024/11 · May/June 2024 · Q237 Marks

AB is a line segment joining A (-2, 5) and B (1, 3).

  1. (a)B is the midpoint of the line segment AC. Find the coordinates of C.[1]
  2. (b)The length AB is √t. Find the value of t.[2]
  3. (c)Find the equation of the line perpendicular to AB that passes through A. Give your answer in the form y = mx+c.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [1] (4, 1)
  2. [2] [t=] 13
  3. M1 for (-2-1)² + (5-3)² oe
  4. [4] [y =] 3/2 x + 8 oe
  5. M1 for grad AB = (5-3)/(-2-1) oe
  6. M1FT for grad of perpendicular = -1/(their -2/3)
  7. M1FT for substituting (-2, 5) into y = (their 3/2)x + c or y-5=(their 3/2)(x-(-2))

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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 2024 Paper 1 Variant 1, question 23.

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