SOLUTION: Points O(0,0) and B(0,3) below lie in the standard (x,y) coordinate plane. The collection of all points such that each is twice as far from B as from O forms a circle. The point (s

Question 986443: Points O(0,0) and B(0,3) below lie in the standard (x,y) coordinate plane. The collection of all points such that each is twice as far from B as from O forms a circle. The point (sqrt 3, 0) is 1 point on the circle. What are the coordinates of the center of the circle?
F. (sqrt 3/2, 3/2)
G. (0,3/2)
H. (0, 1)
J. (0,-1)
K. (0,-3)
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
You are saying Distance between (x,y) and B(0,3) is 2 times distance between (x,y) and O(0,0). You are expecting, according to description, the points (x,y) are a circle.

Want standard form, requiring Completing the Square

Circle, centered at (0,-1), and radius is .
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