Answer :

For x = 0, we have x- coordinates as zero.


For example (0,5) and (0, 7)


These points will lie on y axis. Hence, we say that our given statement is true.


(ii) A point whose y-coordinate is zero, will lie on x-axis.


For y = 0, we have y- coordinates as zero.


For example (5,0) and (7, 0)


These points will lie on x axis. Hence, we say that our given statement is true.


(iii) The coordinates of the origin are (0,0).


Origin is intersection of x-axis and y-axis. This means that coordinates of the origin will be intersection of lines y = 0 and x = 0.


Hence, coordinates of origin are (0,0).


Given statement is true.


(iv) Points whose x and y coordinates are equal, lie on a line passing through the origin.


For above statement we can conclude that our statement satisfies the equation x = y.


For x = 0 and y = 0, this equation gets satisfied.


Hence, our given statement is true.


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