Answer to Question #57674 in Analytic Geometry for sanjiv

Question

Write the equation of the circle satisfying the given equations:
1. with center (2, -1) and radius 3.
2. with center (1, 0) and radius square root of 5 over 3
3. with center (0, 0) and diameter 8.
4 with center (3, 4) and passing through (-1, 1).
5. center at (-3, 2) and touching the x-axis
6. center at (4, 1) touching the y-axis.
7. with radius 3, touching both axes and center in 3rd quadrant.
8. with radius 2, tangent to both axes and center in 4th quadrant.
9. with center at (0, 3) and touching the line x - y = 0
10. with center at (-2, -1) and tangent to the line 4x - 3y = 12.
11. with center at (3,2) and tangent to the line passing through (-1, 3) and (-4,0)