Write whether the following statements are True or False? Justify your answer.
$(i)$ Point $(3,0)$ lies in the first quadrant.
$(ii)$ Points $(1,-1)$ and $(-1,1)$ lie in the same quadrant.
$(i)$ Point $(3,0)$ lies in the first quadrant.
$(ii)$ Points $(1,-1)$ and $(-1,1)$ lie in the same quadrant.
(N/A) $(i)$ The point $(3,0)$ has an abscissa (x-coordinate) of $3$ and an ordinate (y-coordinate) of $0$. If the ordinate of a point is $0$,the point lies on the x-axis,not in any quadrant.
Hence,the given statement is False.
$(ii)$ The point $(1,-1)$ has a positive x-coordinate and a negative y-coordinate,so it lies in the $IV$ quadrant. The point $(-1,1)$ has a negative x-coordinate and a positive y-coordinate,so it lies in the $II$ quadrant.
Since they lie in different quadrants,the given statement is False.
Hence,the given statement is False.
$(ii)$ The point $(1,-1)$ has a positive x-coordinate and a negative y-coordinate,so it lies in the $IV$ quadrant. The point $(-1,1)$ has a negative x-coordinate and a positive y-coordinate,so it lies in the $II$ quadrant.
Since they lie in different quadrants,the given statement is False.
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