State whether the following statement is true or false:
Coordinate axes intersect at $(0,0)$.

Write whether the following statements are True or False. Justify your answer.
$(i)$ Point $(0, -2)$ lies on the $y$-axis.
$(ii)$ The perpendicular distance of the point $(4, 3)$ from the $x$-axis is $4$.

Which axis passes through the point $\left(7 \frac{3}{4}, 0\right)?$

State the coordinates of the points shown in the figure below. (The scale on both axes is $1 \, cm = 10$ units.)

If $a=2, b=-3, c=-2$ and $d=-5,$ then the point $(ab, cd)$ is in the ......... quadrant.

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 $AB$.