SOLUTION: Find the equation of the circle which passes through two points on the X axis which are at distances 4 units from the origin and whose radius is 5 units.

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Question 1051842: Find the equation of the circle which passes through two points on the X axis which are at distances 4 units from the origin and whose radius is 5 units.
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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Find the equation of the circle which passes through two points on the X axis which are at distances 4 units from the origin and whose radius is 5 units.
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There are two such circles and, correspondingly, two equations.


The first circle has the center on the y-axis at y=3.

x%5E2+%2B+%28y-3%29%5E2 = 5%5E2.


The second circle has the center on the y-axis at y=-3.

x%5E2+%2B+%28y%2B3%29%5E2 = 5%5E2.