Answer to Question #57675 in Analytic Geometry for sanjiv

Question

Find the equation of the circle determined by the given conditions:
1. passing through (1, 2), (2, 3) and (-2, 1)
2. passing through (4, 6), (-2, -2) and (-4, 2)
3. circumscribing a triangle formed by the lines x - y + 2 = 0, 2x + 3y - 1 = 0 and 4x + y + 17 = 0
4. center of the x-axis and passing through (0, 0) and (2, 4)
5. containing the point (2, 2) and tangent to the lines y = 1 and y = 6.
6. tangent to the x-axis and passing through (5, 1) and (-2, 8)
7. passing through (-3, -1), (3, -5) and having its center on the line 2x - y - 2 = 0
8. tangent to the line 4x - 3y = 6 at (3, 2) and passing through (2, -1)
9. tangent to the line 3x - 4y - 5 = 0 at (3, 1) and passing through (-3, -1)