A-LevelMathematicsCoordinate geometry9709/12 · Oct/Nov 2013 · Q57 Marks
The diagram shows a rectangle ABCD in which point A is (0, 8) and point B is (4, 0). The diagonal AC has equation 8y + x = 64. Find, by calculation, the coordinates of C and D.
- The diagram shows a rectangle ABCD in which point A is (0, 8) and point B is (4, 0). The diagonal AC has equation 8y + x = 64. Find, by calculation, the coordinates of C and D.[7]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2013). The mark or mark type is shown in brackets.
- [1] m of AB = −2
- [1] m of BC = ½ Use of m₁m₂ = −1 for BC or AD
- [1] Eqn BC → y − 0 = ½(x − 4) Correct method for equation of BC
- [2] Sim eqns (BC and AC) → C (16, 6)
- [2] Vector step method or using AD and CD equations → D (12, 14)
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