The line joining $A(3, -8)$ and $B(3, 5)$ intersects the $x$-axis at $\ldots \ldots . .$

Which quadrant does the interior of $\angle X^{\prime}OY^{\prime}$ represent?

Find the coordinates of the point:
$(i)$ which lies on both $x$ and $y$ axes.
$(ii)$ whose ordinate is $-4$ and which lies on the $y$-axis.
$(iii)$ whose abscissa is $5$ and which lies on the $x$-axis.

If $a=5, b=7, c=6$ and $d=10,$ then the point $(a-b, c-d)$ lies in the ......... quadrant.

If the perpendicular distance of a point $P$ from the $x$-axis is $5$ units and the foot of the perpendicular lies on the negative direction of the $x$-axis,then the point $P$ has

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 $AB$.