Find the standard equation of the given circle.

1. center (-1,4), passing through the point (2,5) 2. concentric with x2 + y2 - 2x + 6y = 6, and has the same are as x2 + y2 + 4x - 2y = 44 3. center (3,4), tangent to the line y = = x - Hint: The distance of a point (Xo, yo) from a line Ax + By + C = 0 is given by d = [Axo+By+CI VA2 +B2