SOLUTION: Find the center of the circle passing through the points (-1,0), (1,0), and (3,1). Express your answer in the form "(a,b)."

Question 1086157: Find the center of the circle passing through the points (-1,0), (1,0), and (3,1). Express your answer in the form "(a,b)."
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
HINT: It is clear from the condition that the center lies on the line x = 0 (y-axis), which bisects the segment from (-1,0) to (1,0).

So, the equation to find the center (0,y) is the equality of distances from (0,y) to (3,1) and (1,0).

It will give you the quadratic / or even linear/ equation for "y".

Solve it and find the center in this way.

RELATED QUESTIONS
1. Find an equation of a circle passing through the points A(1,2) and B(1,-2) touching... (answered by Alan3354,greenestamps)

1. find the equation of the circle in standard form with center at ( -2, 1) and passing... (answered by mouk)

find an equation of the line satisfying the conditions given. Express your answer in... (answered by mananth)

Find the center radius and equation of a circle in standard form given the following... (answered by Alan3354)

Find the general form of the equation of the plane passing through the points A (3, 2,... (answered by ikleyn)

PLEASE HELP!!!! find an equation of the circle that satisfies the given conditions.... (answered by Alan3354)

Find the equation of the circle (standard form) with center at (3,-4) and passing through (answered by Alan3354)

Find an equation of the line satisfying the conditions given. Express your answers in... (answered by Alan3354)

IT'S FOR MY PRE-CALCULUS PLEASE HELP ME! 1. Find the equation of the circle... (answered by ikleyn)