The coordinates of a point on the $x$-axis lying at a distance of $5$ units from the origin on the right side of the $y$-axis are:

The distance between the points $(5, -3)$ and $(5, 8)$ is............

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

In which quadrant or on which axis does each of the following points lie?
$P(-3, -5), Q(0, 5), R(3, 4), S(4, 3), T(5, 0), U(-3, 5), V(5, -3), W(0, -3), X(-3, 0), Y(3, -5), Z(-5, 3)$
Verify your answer by plotting the points in the Cartesian plane.

Plot the points $A(1, -1)$ and $B(4, 5)$.
$(i)$ Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points $A$ and $B$.
$(ii)$ Extend this line segment and write the coordinates of a point on this line which lies outside the line segment $AB$.

The coordinates of the origin are $\ldots \ldots \ldots$