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A-LevelMathematicsCoordinate geometry9709/12 · May/June 2019 · Q25 Marks

Two points A and B have coordinates (1, 3) and (9, –1) respectively. The perpendicular bisector of AB intersects the y-axis at the point C. Find the coordinates of C.

  1. Two points A and B have coordinates (1, 3) and (9, –1) respectively. The perpendicular bisector of AB intersects the y-axis at the point C. Find the coordinates of C.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [B1] Midpoint of AB is (5, 1)
  2. [B1] mAB = -1/2 oe
  3. [*M1] C to (5, 1) has gradient 2
  4. [DM1] Forming equation of line (y = 2x - 9)
  5. [A1] C (0, -9) or y = -9

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About this question

Topic
Coordinate geometry, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2019 Paper 1 Variant 2, question 2.

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