O-LevelAdditional MathematicsStraight line graphs4037/22 · May/June 2011 · Q99 Marks
Solutions to this question by accurate drawing will not be accepted. The diagram shows the quadrilateral ABCD in which A is the point (4, 2) and B is the point (–2, –10). The points C and D lie on the line x = 14. The diagonal AC is perpendicular to AB and passes through the mid-point, M, of the diagonal BD. Find the area of the quadrilateral ABCD.
- Solutions to this question by accurate drawing will not be accepted. The diagram shows the quadrilateral ABCD in which A is the point (4, 2) and B is the point (–2, –10). The points C and D lie on the line x = 14. The diagonal AC is perpendicular to AB and passes through the mid-point, M, of the diagonal BD. Find the area of the quadrilateral ABCD.[9]
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Mark scheme
Marking points from the official mark scheme (May/June 2011). The mark or mark type is shown in brackets.
- [1] mAB = 2
- [1] m1m2 = -1 (mAC = -1/2)
- [1] AC: y-2 = -1/2(x-4) or y = -1/2 x + 4 or x + 2y = 8
- [1] C(14, -3)
- [2] Midpoint M(6, 1)
- [1] D(14, 12)
- [1] Complete method for area
- [1] 150 (on YD)
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