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 $4$.
$(i)$ Point $(0, -2)$ lies on the $y$-axis.
$(ii)$ The perpendicular distance of the point $(4, 3)$ from the $x$-axis is $4$.
(A) $(i)$ True. $A$ point on the $y$-axis has an $x$-coordinate of $0$. Since the given point is $(0, -2)$,it lies on the $y$-axis.
$(ii)$ False. The perpendicular distance of a point $(x, y)$ from the $x$-axis is given by the absolute value of its $y$-coordinate (the ordinate). For the point $(4, 3)$,the ordinate is $3$. Therefore,the perpendicular distance from the $x$-axis is $3$,not $4$.
$(ii)$ False. The perpendicular distance of a point $(x, y)$ from the $x$-axis is given by the absolute value of its $y$-coordinate (the ordinate). For the point $(4, 3)$,the ordinate is $3$. Therefore,the perpendicular distance from the $x$-axis is $3$,not $4$.
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