The distance of point $P(2, -3)$ from the $X$-axis is $\ldots \ldots \ldots \ldots .$.

Find the centre of a circle passing through the points $(6, -6), (3, -7)$ and $(3, 3)$.

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.

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

The distance between the points $A(a+b, b-a)$ and $B(a-b, a+b)$ is............

Find the circumcentre of $\Delta ABC$ with vertices $A(-1, 1)$,$B(0, -4)$,and $C(-1, -5)$.