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O-LevelMathematicsCoordinate geometry4024/11 · Oct/Nov 2010 · Q204 Marks

M is the midpoint of the line joining P and Q.

(a)R lies on PQ produced, such that PR = 3PQ . Find PM : PR .[1]
(b)(i)P is (1, –2) and Q is (5, 6) . Find the coordinates of M.[1]
(b)(ii)The line 4x + ky + 10 = 0 passes through Q ( 5, 6 ) . Find the value of k.[2]

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About this question

Topic: Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source: O-Level Mathematics, Oct/Nov 2010 Paper 1 Variant 1, question 20.

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