Does the point 2 comma square root of 6 lie on the circle shown? Explain.

The circle has center (0, 0) and radius 3, as shown by the point (3, 0) on it. The distance from (0, 0) to (2, √6) is √(2² + (√6)²) = √10, which is not 3. So the point is not on the circle; choice C is correct.

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