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November 8th, 2010, 08:00 PM   #1
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Locus

Identify the locus of all points P(x, y) in the plane satisfying each of the following expressions:



a. x^2 + y^2 < R^2



b. x^2 + y^2 - 2x + 2y + 4 = 0
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November 8th, 2010, 08:26 PM   #2
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Re: Locus

For (a) it will be all the points inside the circle described by which is a circle centered at the origin having radius R.

For (b) we should complete the square for x and y:





No real points satisfy this implicit relationship.
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