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Question

State whether True or False. Correct that are false.
(i) A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
(ii) A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.
(iii) The coordinates of the origin are (0,0)

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Solution

i) yaxis coordinates are given by (0,y) , xcoordinate is always zero for the point which is lying on yaxis, so statement is True.

ii) As explained above for a point to be on yaxis, its x coordinate must be zero, so the statement is false
Correct statement: A point whose y coordinate is zero and x coordinate is 5 will lie on xaxis.

iii) Origin is the point where both x and y coordinates are zero, so statement is True.

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