2025 DSS PRELIMS P1 Q18

2025 DSS PRELIMS P1 Q18

Secondary 4
6 marks

\(P\) is the point \((2,-5)\). \(\overrightarrow{QP}=\begin{pmatrix}-4\\-3\end{pmatrix}\).

  1. Find the length of \(PQ\).[1]
  2. Find the equation of \(PQ\).[3]
  3. Another point, \(R\), lies between \(P\) and \(Q\) on the line \(PQ\) such that \(PQ:PR=4:3\). Find the coordinates of \(R\).[2]

Solution:

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Answer:(a) \(5\) (b) \(y=\frac34x-\frac{13}{2}\) (c) \((5,-\frac{11}{4})\)

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