The point on the $X-$ axis which is equidistant from $A (-1, 2)$ and $B(5, 4)$ is $\ldots \ldots \ldots \ldots$

Area of $\Delta ABC$ is $\frac{3}{2}$. The $Y$-coordinate of its centroid is $8$ less than three times its $X$-coordinate. If $A$ is $(2, -3)$ and $B$ is $(3, -2)$,find the coordinates of $C$.

The line segment joining $A(2, 2)$ and $B(2, -2)$ intersects $\ldots \ldots \ldots \ldots$

If the distance between the points $(a, 1)$ and $(8, a)$ is $5,$ then $a=$

If $P(1, 12)$ divides the line segment $\overline{AB}$ starting from $A$ in the ratio $2:1$ and $A(3, 8)$,then the coordinates of $B$ are $\ldots \ldots$

$A (h, k), B (1, 1)$ and $C (2, 1)$ are the vertices of $\Delta ABC$. If the area of $\Delta ABC$ is $1$,then find the possible values of $k$.