SOLUTION: write the equation for circle O based on the given information. 7. points (1, 5) and (1, 11) lie on the diameter of the circle.

Question 1180579: write the equation for circle O based on the given information.
7. points (1, 5) and (1, 11) lie on the diameter of the circle.
Found 2 solutions by htmentor, ikleyn:
Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
If those two points lie on the diameter, the midpoint of the line segment
joining the points will be the center of the circle.
The midpoint is (1,8), and the radius is (11-5)/2 = 3.
Thus the equation is (x-1)^2 + (y-8)^2 = 9
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
write the equation for circle O based on the given information.
7. points (1, 5) and (1, 11) lie on the diameter of the circle.
~~~~~~~~~~~~~~~~~~

The formulation of this problem is INCORRECT,

and in the form as it is worded, it CAN NOT be solved.

            The correct formulation should say that the points (1,5) and (1,11)
            are ENDPOINTS of the diameter of the circle.

The composer of this problem deserves to be ticketed for his (or her) fake production.

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