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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

REMEMBER that if the points lie on the circle, it would have the same distance from the center then we can say that if points (-2,5), (-2,-1) and (4,-1) are having the same distance from the center located at (1,2) then the points are part of the circle. --------------------------------- Distance Formula:

-------------------------------- Distance from point (-2,5) to the center (1,2)

-------------------------------- Distance from the point (-2,-1) to the center (1,2)

------------------------------- Distance from the point (4,-1) to the center (1,2)

------------------------------ Since the distances of the points to the center is equal then we can say that the points lie on the circle with the radius of 3√2.