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Find the standard equation of the circle which satisfies the given conditions.

1. center at origin, radius - 2√2
2. center at (15, -20), radius = 9
3. center at (5,6), passing through P(9,4) 4. a diameter with end points (-9,2) and (15,12)
5. center at (-2,3), tangent to x-axis
6. center at (-2,3), tangent to y-axis
7. center at (-2,3), tangent to line x = -10
8. center at (-2,3), tangent to y= 5
9. center at (-2,3), tangent to line 3x-4y+6-0​

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