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Find the coordinates of the point
(i) which lies on x and y axes both.
(ii) whose ordinate is -4 and which lies on y-axis.
(iii) whose abscissa is 5 and which lies on x-axis.

Answers (1)

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Answer:
(i) (0, 0)
(ii) (0, -4)
(iii) (5, 0)

Solution.
(i) We know that the point which lies on x-axis and y-axis both is origin whose coordinates are (0, 0)
(ii) We know that the point that lies on y-axis must have its x-coordinate as zero.
Here it is given that a point lies on the y-axis with ordinate -4
The ordinate is the y-axis (vertical) coordinate
So y-coordinate = -4
Hence coordinates are (0, -4)
(iii) We know that the point that lies on x-axis must have its y-coordinate as zero.
Here it is given that the point lies on the x-axis with abscissa 5
The abscissa is the x-axis (horizontal) coordinate
So x-coordinate = 5
Hence coordinates are (5, 0)
The points are shown as follows:

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