The diagram shows a triangle $PQR$ with vertices $P(9,10)$ and $Q(1,-2)$. The point $R$ lies

Question

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]

Accepted Answer

(a) $y=-\frac{2}{3}x+\frac{22}{3}$ (b) $R=(2,6)$ (c) $26\text{ units}^2$

2025 DSS PRELIMS P1 Q12

2025 DSS PRELIMS P1 Q12

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