If $a=5$ and $b=7$,then the point $(a-b, b-a)$ lies in the $\ldots \ldots \ldots$ quadrant.

State whether the following statement is true or false:
$(5, -5)$ is a point on the $x$-axis.

If $(x+2, 7)$ and $(2x-1, 7)$ are the same point,then $x = $ ...........

Points $A(5,3)$,$B(-2,3)$,and $D(5,-4)$ are three vertices of a square $ABCD$. Plot these points on a graph paper and hence find the coordinates of the vertex $C$.

In the Cartesian plane,the vertical line passing through the origin is called the.......

State whether the following statement is true or false:
$(0, 7)$ is a point on the $y$-axis.