Given curve C: x ^ 2 + y ^ 2-2y-4y + M = 0 (1), when m is what value, curve C represents circle?

It seems that the title should be x ^ 2 + y ^ 2-2x-4y + M = 0~
In that case, it can be reduced to (x-1) ^ 2 + (Y-2) ^ 2 = 5-m
If it is a circle, then the radius is 5-m > 0, so m

RELATED INFORMATIONS

1. Given the curve C: X Λ 2 + y Λ 2-2x-4y + M = 0, when m is what value, C is a circle?
2. The square of a minus one ninth of x equals (a plus one third of x) (); the square of 4x minus the square of 25y equals () (2x minus 5Y) Fill in the blanks
3. Calculate (4x ^ 2-25y ^ 2) divided by (2x-5y) (2) (2x ^ 2-2x + 1 / 2) divided by (x-1 / 2) Solving the equation 2x ^ 2-3x = 0 (3y+5)^2=4y^2
4. Given that P: {x | - x ^ 2 + 8x + 20 ≥ 0}, Q: {x | - 1-m ≤ x ≤ 1 + m, M > 0}, if P is not a necessary and sufficient condition for Q, the value range of M is obtained
5. P: Is "1 - (x-1) / 3" = - 2 or 1 + m > = 10? Plus m > 0 in the stem, when I solve it, it's 0 What about the solution of x > 10
6. The parabola y = 2x & # 178; + 8x + 3 has several common points with the X axis. The coordinates of the common points are
7. X = 2, the fifth power of the polynomial ax + the cube of BX + cx-5 value = 9, x = - 2, the polynomial (A-4) of X, the cube of X - the B power of X + X-B is a binomial, a =, B=
8. When x = - 2, the value of ax ^ 3 + bx-63 is 17. Find the algebraic formula - 2aX ^ 3-20-2bx when x = 2
9. X = 2. Ax ＾ 2 + bx-3 is 6. If x = 1, the algebraic formula (2aX ＾ 3 + bx-5) ＾ 3 is X
10. It is known that when x = - 2, the value of the cubic power + BX + 3 of the polynomial ax is 0, then when x = - 2, the value of this algebraic expression is 0______ Quick good to points! It is known that when x = - 2, the value of polynomial a multiplied by the third power of X + BX + 3 is 0, then when x = - 2, the value of this algebraic expression is 0______ Quick good to points!
11. Given the circle C: X & # 178; + Y & # 178; - 2x + 4y-4 = 0, ask whether there is a straight line L with a slope of 1, so that l is cut by the circle C If there is a circle with the diameter of string AB passing through the origin, write the equation of line L; if there is no such a circle, explain the reason
12. If the line L bisects the circle x ^ 2 + y ^ - 2x-4y = 0 and it is no more than the fourth phenomenon, then the slope of the line L is in the range of
13. The equation of circle x ^ 2 + y ^ 2-6x-4y + 10 = 0
14. Find the linear equation parallel to the line x + y + 3 = 0 and tangent to the square of circle x + y-6x-4y + 5 = 0
15. If the coefficient in front of X and Y in the general equation of circle is not 1, what kind of equation is it? For example: 6x ^ 2 + 4Y ^ 2-6x = 0 There is also a linear term x in the formula, which should not be an ellipse
16. It is known that x ≥ 0, y ≥ 0, 3x + 4Y = 12; the maximum and minimum of ∣ 2x-3y ∣ are obtained
17. 6x+5Y=31 2X+3Y=17 Find x Find y
18. 2x+5y=7 2x-3y=-1
19. 2x-5y = 7.2x + 3Y = - 1
20. Solve the equation 2x + 5Y = 12,2x + 3Y = 6