November 8th, 2010, 08:00 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, 08:26 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 461 Math Focus: Calculus/ODEs  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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