$(0, 0), (3.1, 0)$ and $(0, 4.5)$ are the vertices of $\ldots \ldots \ldots \ldots$ triangle.

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

The points $A(9,0), B(9,6), C(-9,6)$ and $D(-9,0)$ are the vertices of a

State whether the following statements are true or false. Justify your answer.
The points $(0,5), (0,-9)$ and $(3,6)$ are collinear.

The triangle with the vertices $(1, 1)$, $(-1, -1)$, and $(-\sqrt{3}, \sqrt{3})$ is $\ldots \ldots \ldots$ triangle.

Find the values of $k$ if the points $A(k+1, 2k)$,$B(3k, 2k+3)$ and $C(5k-1, 5k)$ are collinear.