O-LevelAdditional MathematicsStraight line graphs4037/12 · Oct/Nov 2011 · Q89 Marks
The line CD is the perpendicular bisector of the line joining the point A (−1, –5) and the point B (5,3).
- (i)Find the equation of the line CD.[4]
- (ii)Given that M is the midpoint of AB, that 2CM = MD, and that the x-coordinate of C is – 2, find the coordinates of D.[3]
- (iii)Find the area of the triangle CAD.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.
- [B1] B1 for M (2, -1)
- [M1] M1 for attempt to find gradient of perpendicular
- [DM1] DM1 for straight line equation using M
- [A1] A1 for equation of CD
- [B1] B1 for y coordinates of C can be awarded in (iii)
- [B1, B1] B1 for each of the coordinates for D
- [M1] M1 for attempt at area
- [A1] A1 for area
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