SOLUTION: The set of points (x,y) such that x2 + y2 = 9 is (a) a circle of radius 3 centered at (1,1) (b) a circle of radius 9 centered at (0,0) (c) a parabola (d) an hyper

Algebra ->  Graphs -> SOLUTION: The set of points (x,y) such that x2 + y2 = 9 is (a) a circle of radius 3 centered at (1,1) (b) a circle of radius 9 centered at (0,0) (c) a parabola (d) an hyper      Log On


   

Question 675178: The set of points (x,y) such that x2 + y2 = 9 is

(a) a circle of radius 3 centered at (1,1)
(b) a circle of radius 9 centered at (0,0)
(c) a parabola
(d) an hyperbola
(e) a circle of radius 3 centered at (0,0)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
On the coordinate plane, the formula becomes %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2
h and k are the x and y coordinates of the center of the circle, and r is radius
so, you have a circle
+x%5E2+%2B+y%5E2+=+9 , where h=0,k=0, and r=3
and your answer is:
(e) a circle of radius 3 centered at (0,0)