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Possible Duplicate:
Plotting the locus of points equidistant from a point

I'm trying to solve this question, I encountered whiles reading a multivariate analysis book and i need assistance. An explaination will do. "Define the distance from $ P(x_{1}, x_{2})$ to the origin as $ d(O,P) = max(|x_{1}|,|x_{2}|)$. I'm done with the first part of the question. I'm to plot the locus of points whose squared distance from the origin is $1$. "

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marked as duplicate by Gerry Myerson, Ross Millikan, André Nicolas, William, J. M. Sep 27 '12 at 10:27

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

@ Nicholas, I have updated it. – Eugene Mettle Sep 25 '12 at 3:15
Now it is exactly like the previous problem posted today. – André Nicolas Sep 25 '12 at 3:21
@AndréNicolas: but close enough that I vote it a duplicate. – Ross Millikan Sep 25 '12 at 4:18

If the squared distance is 1, then the distance is 1. So you're looking to plot the points $(x,y)$ where $\max(|x|,|y|)=1$ (I'm assuming you meant $|x_1|,|x_2|$ where you wrote $|x_1,x_2|$, since I can't make any sense out of the latter). So, can you do that?

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