\(\begin{aligned} &A(-3,2),B(7,17);\\\\&AP:PB=2:3 \end{aligned}\)
\((1,8)\)
\((2,9)\)
The diagram shows the position of shop \(A\) and shop \(B\) on a Cartesian plane.
Shop \(C\) is located between the shop \(A\) and shop \(B\) with
\(AC:AB=3:5\).
State the coordinates of shop \(C\).
\( \left(\dfrac{17}{6},\dfrac{37}{6} \right)\)
\( \left(\dfrac{17}{7},\dfrac{37}{7} \right)\)
The coordinates of points \(P\) and \(R\) are \((5,4)\) and \((1,-2)\) respectively.
If point \(Q\left(2\dfrac{3}{5},k \right)\) lies on the straight line \(PR\), find the value of \(k\).
\(\dfrac{3}{5}\)
\(\dfrac{2}{5}\)
The diagram shows three traffic lights \(P, Q\) and \(R\) along a straight road.
It is given that the distance from \(Q\) to \(R\) is \(\dfrac{3}{5}\) times the distance from \(P\) to \(R\).
Find the coordinates of traffic light \(R\).
\((11, 5)\)
\((10, 4)\)
For the following, point \(Q\) divides the straight line \(AB\) according to the ratio \(AQ:QB\).
Find the value of \(p\) and of \(q\).
\(\begin{aligned} &A(p,3),Q(4,1),B(4,q);\\\\&AQ:QB=1:3 \end{aligned}\)
\(\begin{aligned} p&=-4\\\\ q&=5\end{aligned}\)
\(\begin{aligned} p&=-4\\\\ q&=-5\end{aligned}\)
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