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

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

x^2+y^2-2x-4y=0
(x-1)^2+(y-2)^2=5
Center of circle (1,2)
The line L bisects the circle
So a straight line goes through the center
y-2=k(x-1)
But the fourth phenomenon
Then k > = 0 and the intercept of the line on the Y axis > = 0
x=0
y-2=-k
y=2-k>=0
k