For given point $A(2, 4)$ and $B(-3, b)$,if $AB = \sqrt{26}$,find the possible values of $b$.

In $\Delta ABC,$ if $A(0, 0), B(4, 0)$ and $C(0, 3)$ then $\Delta ABC$ is a $\ldots \ldots \ldots$ triangle.

The distance between $(7, 5)$ and $(2, 5)$ is........

Find $k$ if $(1, 7), (2, 4)$ and $(k, 5)$ form a right triangle.

The points $A(x_{1}, y_{1})$,$B(x_{2}, y_{2})$ and $C(x_{3}, y_{3})$ are the vertices of $\triangle ABC$.
$(i)$ The median from $A$ meets $BC$ at $D$. Find the coordinates of the point $D$.
$(ii)$ Find the coordinates of the point $P$ on $AD$ such that $AP : PD = 2 : 1$.
$(iii)$ Find the coordinates of points $Q$ and $R$ on medians $BE$ and $CF$,respectively,such that $BQ : QE = 2 : 1$ and $CR : RF = 2 : 1$.
$(iv)$ What are the coordinates of the centroid of the triangle $ABC$?

$A - M - B$ and if $\frac{AM}{AB} = \frac{3}{5}$,then $M$ divides $\overline{AB}$ from $A$ in the internal division ratio......