Find the coordinates of the midpoint of the segment whose end points are $A ( 4 , 3 )$ and $B ( 6 , 5 )$

In which ratio and at which point does the $Y-$ axis divide the line segment joining $A(-2, 3)$ and $B(3, 0)$ from $A$?

If one vertex of a triangle is $(1, 1)$ and the midpoints of the sides through this vertex are $(-1, 2)$ and $(3, 2)$,then find the centroid of the triangle.

If $A$ and $B$ are $(-2, -2)$ and $(2, -4)$ respectively,find the coordinates of $P$ such that $AP = \frac{3}{7} AB$ and $P$ lies on the line segment $AB$.

$\overline{ AB }$ is given. If $P$ is a point on $\overline{ AB }$ such that $A - P - B$,then $P$ divides $\overline{ AB }$ from $B$ in the division ratio $\ldots \ldots \ldots \ldots$

If the vertices of $\Delta ABC$ are $A(x_{1}, y_{1})$,$B(x_{2}, y_{2})$,and $C(x_{3}, y_{3})$,then the centroid of $\Delta ABC$ is........