2025 DSS PRELIMS P1 Q12
2025 DSS PRELIMS P1 Q12
Secondary 4
8 marks
The diagram shows a triangle \(PQR\) with vertices \(P(9,10)\) and \(Q(1,-2)\). The point \(R\) lies on the perpendicular bisector of \(PQ\) and the equation of the line \(QR\) is \(y=8x-10\).
- Find the equation of the perpendicular bisector of \(PQ\).[4]
- Find the coordinates of \(R\).[2]
- Find the area of triangle \(PQR\).[2]
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Answer:(a) \(y=-\frac{2}{3}x+\frac{22}{3}\) (b) \(R=(2,6)\) (c) \(26\text{ units}^2\)
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