Subjects geometry

Point Inside Circle 7Cba6D

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Point Inside Circle 7Cba6D


1. The problem asks to identify the coordinates of a point from the given options on the first graph. 2. The first graph shows two circles: a smaller circle centered at (0,2) with radius 1, and a larger circle centered at (0,-3) with radius 3. 3. We need to check which of the given points lies on or inside these circles based on their coordinates. 4. Option a: (-3, 1) is left of the center and above the larger circle's center but outside the smaller circle. 5. Option b: (-2, -2) is near the larger circle's center (0,-3) and within radius 3. 6. Option c: (0, 3) is above the smaller circle's center (0,2) by 1 unit, exactly on the smaller circle's boundary. 7. Option d: (3, -3) is right of the larger circle's center (0,-3) by 3 units, exactly on the larger circle's boundary. 8. Since the smaller circle is shaded inside and the larger circle is also shaded inside, points on or inside these circles are valid. 9. Among the options, (0,3) lies on the smaller circle boundary, so it is a valid point inside or on the shaded area. 10. Therefore, the correct answer is c. (0, 3).