Identify the locus of all pointsP(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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- Nov 8th 2010, 06:58 PMMATNTRNGLocus
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 - 2*x*+ 2*y*+ 4 = 0 - Nov 10th 2010, 03:24 AMemakarov
Your textbook or class discussion must say something about a. The answer to b is a circle, a point, or the empty set. You can find the details by completing the square, i.e., representing the equation as $\displaystyle (x-x_0)^2+(y-y_0)^2=c$ for some constants $\displaystyle x_0$, $\displaystyle y_0$ and $\displaystyle c$.