2025 PHS PRELIMS P1 Q4

2025 PHS PRELIMS P1 Q4

Secondary 4
7 marks
2025 Presbyterian High School Prelims A Math Paper 1

\(A\) and \(B\) are the points of intersection of the line \(4y = 2x + 1\) and the curve \(3y - x = 4xy\).

  1. Find the coordinates of \(A\) and of \(B\).[4]
  2. Henry says that the line \(2y - 4x = 5\) is perpendicular to the line \(AB\). Is he correct? Justify your answer with workings.[3]

Solution:

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Answer:(a) \(A\left(\dfrac{1}{2},\dfrac{1}{2}\right),\ B\left(-\dfrac{3}{4},-\dfrac{1}{8}\right)\) (b) Henry is not correct.

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