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Questions › DSE › DSE 2014 › Q5
1 mark, −0.333333333333333Mathematics › Coordinate and solid geometry › Coordinate geometry: distance, lines and circlesEasyabout 1 min

DSE 2014 Question 5: Coordinate and solid geometry

Let O(0,0)O(0,0)O(0,0), P(3,4)P(3,4)P(3,4) and Q(6,0)Q(6,0)Q(6,0) be the vertices of triangle OPQOPQOPQ. If a point SSS in the interior is such that triangles OPSOPSOPS, PQSPQSPQS and OQSOQSOQS have equal area, then the coordinates of SSS are:

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Let O(0,0), P(3,4) and Q(6,0) be the vertices of triangle OPQ. If a point S in the interior is such that triangles OPS, PQS and OQS have equal area, then the coordinates of S are: (A) (4/3,3) (B) (3,2/3) (C) (3,4/3) (D) (4/3,2/3)

Coordinate and solid geometry has come up 18 times in 2 exams since 2008.

What this question tests

This question is on Coordinate geometry: distance, lines and circles, part of Coordinate and solid geometry in Mathematics.

Using coordinates to find distances, slopes and the equation of a circle.

TestStop has 6 past-paper questions on this subtopic.

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Question from the DSE 2014 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.