O-LevelMathematicsCoordinate geometry4024/11 · Oct/Nov 2013 · Q173 Marks

The diagram shows the points A(1, 4), B(3, 12) and C(15, 4). The equation of the line through B and C is 2x + 3y = 42. [Figure X.X] The region inside triangle ABC is defined by three inequalities. One of these is 2x + 3y < 42.

(a)Write down the other two inequalities.[2]
(b)How many points, with coordinates (10, k), where k is an integer, lie inside the triangle ABC?[1]

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Topic: Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source: O-Level Mathematics, Oct/Nov 2013 Paper 1 Variant 1, question 17.

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