What are the conditions for the intersection of the circle x ＾ 2 + y ＾ 2 + DX + ey + F = 0 and the Y axis on both sides of the origin Detailed process, thank you

Let x = 0, then the product of two quadratic equations with respect to y is less than zero
That is f

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8. 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
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10. A rope of 2 meters, the first minus two fifths, the second minus one third more than the first, a total of minus how many meters?
11. If the center of x ^ 2 + y ^ 2 + DX + ey + F = 0 (d ^ 2 + e ^ 2-4f > 0) is on the straight line x + y = 0, then the relation of D, e, f What does F have to do with them
12. In the equation x ^ 2 + y ^ 2 + DX + ey + F = 0, if d ^ 2 = e ^ 2 = 4f, then the position of the circle () A. The length of the chord obtained by cutting two axes is equal B. Tangent to both axes C. Away from two axes D. All of the above are possible
13. Excuse me, the general equation of this circle x + y + DX + ey + F = 0, why D + e-4f > 0? How is d + e-4f > 0 obtained?
14. What is the condition that "d square + e square - 4f > 0" is the equation x square + y square + DX + ey + F representing a circle?
15. The general equation of high school mathematics circle x ^ 2 + y ^ 2 + DX + ey + F = 0, f must be less than zero? What?
16. When d ^ 2 + e ^ 2-4f > 0, the quadratic equation x ^ 2 + y ^ 2 + DX + ey + F > 0 is called the equation of circle Is that right?
17. To make the two intersections of the circle x ^ 2 + y ^ 2 + DX + ey + F = 0 and the X axis on both sides of the origin,
18. The equation x ^ 2 + y ^ 2 + DX + ey + F = 0 is equivalent to the equation of circle A. Sufficient but not necessary condition B, necessary but not sufficient condition C, sufficient and necessary condition D, neither sufficient nor necessary condition
19. When the equation x + y + DX + ey + F = 0 satisfies what condition, it means circle
20. If the analytic expression of the function y = x ^ 2-4x + 3 is y = x ^ 2, then a =? Process