Problema Solution
The center of a circle lies on the line y=1. The point (2,-3) lies on the circle. The radius is 4. What is the center of the circle ?
Answer provided by our tutors
Let (x, 1) represent the center of the circle (since it lies on the line y = 1)
The distance between (x, 1) and (2, -3) is 4:
(x - 2)^2 + (1 - (-3))^2 = 4^2
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click here to see the equation solved for x
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x = 2
The center of the circle is (2, 1).