Given the circle C: x2 + Y2 + DX + ey + 3 = 0, the circle C is symmetric about the straight line x + Y-1 = 0, the center of the circle is in the second quadrant, and the radius is 2. (I) solve the equation of the circle C; (II) find the equation of the straight line L whose origin is not known is tangent to the circle C, and the intercept on the x-axis and y-axis is equal

Given the circle C: x2 + Y2 + DX + ey + 3 = 0, the circle C is symmetric about the straight line x + Y-1 = 0, the center of the circle is in the second quadrant, and the radius is 2. (I) solve the equation of the circle C; (II) find the equation of the straight line L whose origin is not known is tangent to the circle C, and the intercept on the x-axis and y-axis is equal

(I) from x2 + Y2 + DX + ey + 3 = 0, we know that the coordinates of the center of the circle C are (- D2, - E2) ∵ the circle C is symmetric about the straight line x + Y-1 = 0 ∵ the point (- D2, - E2) is on the straight line x + Y-1 = 0, that is, D + e = - 2, and D2 + E2 − 124 = 2, and ∵ the center of the circle C is in the second quadrant ∵ d > 0, e < 0