If the circle x ^ 2 + y ^ 2 + DX + ey + F = 0 (d ^ 2 + e ^ 2-4f) is symmetric with respect to the straight line x + y = 0, then the following equation holds true A、D+E+F=0 B、D+F=0 C、D+E=0 D、E+F=0

If the circle x ^ 2 + y ^ 2 + DX + ey + F = 0 (d ^ 2 + e ^ 2-4f) is symmetric with respect to the straight line x + y = 0, then the following equation holds true A、D+E+F=0 B、D+F=0 C、D+E=0 D、E+F=0

C
Because the center coordinates of the circle are (- D / 2, - E / 2), on the line x + y = 0
So - D / 2-e / 2 = 0
That is, D + e = 0