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

If $(a, b)$ and $(b, a)$ represent the same point in the coordinate plane,then which of the following is possible?

On plotting the points $O(0,0), A(3,0), B(3,4)$,and $C(0,4)$ and joining $OA, AB, BC$,and $CO$,which of the following figures is obtained?

Write whether the following statements are True or False. Justify your answer.
$(i)$ The coordinates of a point whose ordinate is $-\frac{1}{2}$ and abscissa is $1$ are $(-\frac{1}{2}, 1)$.
$(ii)$ $A$ point lies on the $y$-axis at a distance of $2$ units from the $x$-axis. Its coordinates are $(2, 0)$.

In which quadrant or on which axis does each of the following points lie?
$A(15, -10), B(-10, -20), C(25, 0), D(-15, 25), E(-5, 0), F(0, -15), G(25, 5), H(0, 15)$
Verify your answer by plotting the points in the Cartesian plane. Use the scale $1 \, cm = 5 \, \text{units}$ on both axes.

If $P(-1, 1)$,$Q(3, -4)$,$R(1, -1)$,$S(-2, -3)$,and $T(-4, 4)$ are plotted on the graph paper,then the points in the fourth quadrant are: