O-LevelMathematicsCoordinate geometry4024/12 · Oct/Nov 2022 · Q153 Marks
The diagram shows the points A (0, 6), B(p, 0) and C(p, 6). The equation of the line AB is 3y+4x = 18. [Figure of triangle ABC on coordinate axes] NOT TO SCALE
- (a)Find the value of p.[1]
- (b)Write down the three inequalities that define the region inside triangle ABC.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [1] 4.5 oe
- [2] x < 4.5 and y < 6 and 3y + 4x > 18 oe
- FT x < their (a) if > 0
- B1 for one of x < their 4.5 or y < 6 or 3y + 4x > 18 oe
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