\(\begin{aligned} &A(-3,2),B(7,17);\\\\&AP:PB=2:3 \end{aligned}\)
\((1,8)\)
\((2,9)\)
For the following, point \(Q\) divides the straight line \(AB\) according to the ratio \(AQ:QB\).
Find the value of \(p\) and of \(q\).
\(\begin{aligned} &A(p,3),Q(4,1),B(4,q);\\\\&AQ:QB=1:3 \end{aligned}\)
\(\begin{aligned} p&=-4\\\\ q&=5\end{aligned}\)
\(\begin{aligned} p&=-4\\\\ q&=-5\end{aligned}\)
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 \(R\).
\((11, 5)\)
\((10, 4)\)
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 \(k\).
\(\dfrac{3}{5}\)
\(\dfrac{2}{5}\)
There is something wrong with this question.
