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O-LevelMathematicsCoordinate geometry4024/11 · Oct/Nov 2011 · Q173 Marks

In the diagram, B is the point (8, 2). The equation of the line AB is y = 2 and the equation of the line AC is 2x - y = 3. BC produced passes through the origin. [Figure 17.1]

(a)AC produced intersects the y-axis at D. Find the coordinates of D.[1]
(b)The region inside triangle ABC is defined by three inequalities. One of these is y < 2. Find the other two inequalities.[2]

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About this question

Topic: Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source: O-Level Mathematics, Oct/Nov 2011 Paper 1 Variant 1, question 17.

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