The diagram shows a triangle $PQR$ and angle $ PRQ$ is $90{}^\circ$. The coordinates of $P$,

Question

The diagram shows a triangle $PQR$ and angle $ PRQ$ is $90{}^\circ$. The coordinates of $P$, $Q$ and $R$ are $(-7, 2)$, $(4, 7)$ and $(m, -m)$ respectively, where $m$ is a constant. Show that $m = 1$.[2] $PQRS$ is a parallelogram. Find the coordinates of $S$.[2] $T$ is the point on $PR$ such that $PT : TR = 1 : 3$. Find the coordinates of $T$.[2] Find the area of the triangle $PTQ$.[2]

Accepted Answer

(a) $m=1$ (b) $S=(-10,-6)$ (c) $T=\left(-5,\dfrac54\right)$ (d) $\dfrac{73}{8}\text{ units}^2$

2023 Ahmad Ibrahim Sec AM S3 EOY Q7

2023 Ahmad Ibrahim Sec AM S3 EOY Q7

Video Solution:

Solution:

Solution locked