The coordinates of a point dividing the line segment joining $A(8, 10)$ and $B(4, 12)$ from $A$ in the ratio $1:1$ are......

When point $A(x_{1}, y_{1})$ and point $B(x_{2}, y_{2})$ are joined to form $\overline{AB}$ and a point divides $\overline{AB}$ in the ratio $\lambda : 1$,the coordinates of the point are:

Given $P-R-Q$ and if $\frac{PR}{PQ} = \frac{2}{7}$,then $R$ divides $\overline{PQ}$ from $Q$ in the internal division ratio $\ldots \ldots \ldots \ldots$

$A(k, 2)$ and $B(3, 5)$ are the given points. If the point $P(t, t)$ divides the line segment $\overline{AB}$ in the ratio $k:1$ starting from $A$, find the value of $k$.

Find the coordinates of the points of trisection (i.e.,points dividing in three equal parts) of the line segment joining the points $A (2, -2)$ and $B (-7, 4)$.

Let $A(4,2)$,$B(6,5)$,and $C(1,4)$ be the vertices of $\Delta ABC$. The median from $A$ meets $BC$ at $D$. Find the coordinates of the point $D$.