SOLUTION: The points A = (0,13) and B = (12,5) lie on a circle whose center is at the origin. (a) Write an equation for the perpendicular bisector of segment AB. Notice that this bisector

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The points A = (0,13) and B = (12,5) lie on a circle whose center is at the origin. (a) Write an equation for the perpendicular bisector of segment AB. Notice that this bisector       Log On

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Question 1157512: The points A = (0,13) and B = (12,5) lie on a circle whose center is at the origin.
(a) Write an equation for the perpendicular bisector of segment AB. Notice that this bisector goes through the origin; why was this
(b) Find center and radius for another circle to which A and B both belong, and write an equation for it.
(c) How small can such a circle be? How large? What can be said about the centers of all such circles?

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

In this my short remark, I only want to notice that the assignment of Part (b) is NONSENSICAL,

because there are INFINITELY MANY circles to which the points A and B both belong.

Accordingly, there are INFINITELY MANY their centers and radii, as well as infinitely many equations.


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Hey, I am starting to collect and to count nonsensical posts, submitted today.

At the evening, I will send the list (the links) of these submissions to the MANAGERS of this project,

to inform them about this FLOW of nonsense.