If the equation of a circle is x 2+y…… 2+kx+2y+k…… 2 = Oh, then when the area of the circle is the largest, the coordinates of the center of the circle are

(x+k/2)^2+(y+1)^2=1-3k^2/4
So k = 0 has the largest area
The center of the circle is (0, - 1)

RELATED INFORMATIONS

1. Given the circle x2 + Y2 + KX + 2Y + K2 = 0, when the area of the circle is the maximum, the center coordinate is () A. （0，-1）B. （1，-1）C. （-1，0）D. （-1，1）
2. If the equation of a circle is x ^ 2 + y ^ 2 + KX + 2Y + K ^ 2 = 0, what is the value of K, the area of the circle is the largest? And the coordinates of the center of the circle at this time can be obtained
3. Given the equation x ^ 2 + y ^ 2 + KX + 2Y + k = 0 of a circle, if there are two tangents of the circle made by passing through the fixed point P (1, - 1), then the condition that K should satisfy is
4. Find the equation of equiaxed hyperbola passing through point a (3, - 1) and the axis of symmetry is coordinate axis______ ．
5. It is known that the symmetry axes of the points (3, - 1) where the equiaxed hyperbola passes through are all on the coordinate axis, then the standard equation of the hyperbola is
6. The hyperbolic standard equation of a = 4 and B = 3 with coordinate axis as symmetry axis is?
7. The eccentricity e of hyperbola C with origin o as the center and f (5,0) as the right focus is known to be 52. The standard equation and asymptote equation of hyperbola C are solved
8. It is known that the center of hyperbola is at the origin, the eccentricity is 2, and a focus f (- m, 0) Given that the center of the hyperbola is at the origin, the eccentricity is 2, a focus f (- m.0) (M is a normal number) 1 helps to solve the hyperbolic equation 2. Let Q be a point on the hyperbola, and the line L passing through the points F and Q intersects the Y axis at the point M. if MQ = 2qf, help to solve the L equation
9. If the distance from a point to the center of an equiaxed hyperbola is D, then the product of the distances from point P to two focal points is? I know the answer is d squared, online, etc
10. The standard equation of hyperbola with a = 4, B = 3 and focus on X axis is
11. What is the position relationship between circle x ^ 2 + y ^ 2-6x + 5 = 0 and circle x ^ 2 + y ^ 2-8y + 7 = 0? What is the positional relationship between circle x ^ 2 + y ^ 2-6x + 5 = 0 and circle x ^ 2 + y ^ 2-8y + 7 = 0? Apart, intersect, circumscribe, or inscribe? How to judge their position? Now I can get the center coordinates and radius of two circles by using the conditions in the question. But what should I do next?
12. Given the circle C: x ^ 2 + y ^ 2-8y + 12 = 0, the line L; KX + y + 2K = 0, when the value of K is, the line L is tangent to C
13. The line L: kx-y-4k + 3 = 0 K belongs to the positional relationship between R and x ^ 2 + y ^ 2-6x-8y + 12 = 0
14. For any real number k, if the line (3K + 2) x-ky-2 = 0 passes a certain point, then the fixed point
15. For any real number k, what is the position relationship between the line (3K + 2) x-ky-2 = 0 and the circle x ^ 2 + y ^ 2-2x-2y-2 = 0? The relationship between the center of a circle and a straight line is discussed without over fixed point method
16. K stands for real number. The curve represented by equation kx2 + 2y2-8 = 0 is discussed
17. If the lines X + 2y-1 = 0 and y = KX are parallel to each other, then the value of the real number k is______ ．
18. Let the real numbers x and y satisfy the following conditions: ① x-y-2 ≤ 0, ② x + 2y-4 ≥ 0, ③ 2y-3 ≤ 0, then the maximum value of Y / X is Note: I hope you can give me a picture!
19. The maximum range of objective function z = 3x + 2Y is [7,9], then the range of positive real number k is
20. Given that hyperbola y = 3x and straight line y = KX + 2 intersect point a (x1, Y1) and point B (X2, Y2), and X12 + X22 = 10, find the value of K