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 November 8th, 2010, 07:00 PM #1 Senior Member   Joined: Apr 2009 Posts: 106 Thanks: 0 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
 November 8th, 2010, 07:26 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 463 Math Focus: Calculus/ODEs Re: Locus For (a) it will be all the points inside the circle described by $x^2+y^2=R^2$ which is a circle centered at the origin having radius R. For (b) we should complete the square for x and y: $(x^2-2x+1)+(y^2+2y+1)+(4-1-1)=0$ $(x-1)^2+(y+1)^2=-2$ No real points satisfy this implicit relationship.

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