O-LevelMathematicsCoordinate geometry4024/11 · Oct/Nov 2016 · Q246 Marks
A is the point (5, 2) and B is the point (9, 6). AC is parallel to the x-axis. CB is parallel to the y-axis. The equation of the line AB is x – y = 3. [Figure 24.1]
- (a)Find the coordinates of C.[1]
- (b)The region inside triangle ABC is defined by three inequalities. Write down these inequalities.[3]
- (c)The point (a, b), where a and b are integers, lies inside triangle ABC. It also lies on the line y = 1/2 x. Find the value of a and the value of b.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.
- [1] (a) (9, 2)
- [1] (b) x < 9 oe
- [1] (b) y > 2 oe
- [1] (b) x-y > 3 oe
- In (b), if [0] scored for x < 9 and y > 2 then C1 for both {x ... 9 or x ... their(9)} and {y ... 2 or y ... their(2)}
- [1] (c) a=8
- [1] (c) b=4
- In (c), if [0] scored then C1 for a = 4 and b = 8; or for a = 6 and b = 3.
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