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The question is to plot two points lying on y-axis which are equal distance from the origin.What is the exact meaning of the question and how do I solve it?Please help.

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The $y$-axis is the vertical line through the origin.
So you'll need one point directly above the origin and one directly below.
But they must the the same distance above/below the origin.
So the $x-y$ coordinates of your two points will be $(0,y)$ and $(0,-y)$, and you can pick whatever value for $y$ you like.

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