If the distance between $A(1, 3)$ and $B(a, 0)$ is $3$ units,then $a = \ldots$

If $A(0,0)$,$B(0,12)$,and $C(5,0)$,then $BC = \ldots$

State whether the following statements are true or false. Justify your answer.
Points $A(4,3), B(6,4), C(5,-6)$ and $D(-3,5)$ are the vertices of a parallelogram.

Find the coordinates of the point on the $X-$axis which is at a distance of $5$ units from $A(4,4)$.

If $A(0, 0)$,$B(2, 0)$,$C(2, 2)$,and $D(0, 2)$,then $\square ABCD$ is a $\ldots \ldots \ldots$

$A$ point $(4,4)$ divides the line segment joining $A(2,6)$ and $B(6,2)$ from $A$,then the ratio of division is $\ldots \ldots \ldots \ldots .$