The points (other than origin) for which abscissa is equal to the ordinate will lie in

Plot the points $P(1, 0)$,$Q(4, 0)$,and $S(1, 3)$. Find the coordinates of the point $R$ such that $PQRS$ is a square.

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

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:

In which quadrant does a point lie if its $x$-coordinate is negative and the $y$-coordinate is positive?

In the figure,$LM$ is a line parallel to the $y$-axis at a distance of $3$ units.
$(i)$ What are the coordinates of the points $P, R,$ and $Q$?
$(ii)$ What is the difference between the abscissa of the points $L$ and $M$?