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A-LevelMathematicsCoordinate geometry9709/12 · May/June 2014 · Q15 Marks

Find the coordinates of the point at which the perpendicular bisector of the line joining (2, 7) to (10, 3) meets the x-axis.

  1. Find the coordinates of the point at which the perpendicular bisector of the line joining (2, 7) to (10, 3) meets the x-axis.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.

  1. [B1] Mid-point (6, 5) co
  2. [B1] Gradient = – ½ co
  3. [B1] Perp gradient = 2 co
  4. [M1] Eqn y – 5 = 2(x – 6) Must be correct form of Perp
  5. [A1] Sets y to 0, → (3½, 0) co x = 3½ only is ok.

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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 2014 Paper 1 Variant 2, question 1.

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