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O-LevelMathematicsCoordinate geometry4024/12 · May/June 2020 · Q246 Marks

P is the point (h, 7). P lies on the line 3y + 2x = 5.

  1. (a)Find the value of h.[2]
  2. (b)Line L is perpendicular to the line 3y + 2x = 5 and passes through P. Find the equation of line L.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [2] -8
  2. M1 for 3 × 7 + 2h = 5 oe
  3. [4] y = 3/2 x + 19 oe
  4. B1 for gradient of original line -2/3 soi
  5. M1 for -1 / their gradient
  6. M1 for substituting (their -8, 7) in y = their (3/2) x + c

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About this question

Topic
Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 6 marks.
Source
O-Level Mathematics, May/June 2020 Paper 1 Variant 2, question 24.

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