How to check the intersection of the line with a circle?

I have a line with points A[5,60] and B[60,60]. Also I have 10 circles with x and y positions which is shown in matrix C below, the radius of each circle is r=1:

C= [46.5816   21.1706
 29.2028   24.7608
 23.8874   15.4974
 19.3820   66.0560
 36.2145   57.9523
 14.4454   90.1348
 34.2785   59.8094
 37.0270   99.0752
 49.1183   68.0090
 31.6019   30.9405];

So, How Can I check that any circle's radius intersects with the given line? And I need to put condition that If any circle intersects with line, cancel that circle from the matrix C.

I plot lines and circles as shown in Figure below:

According to the figure we can see that the circle (34.2785 59.8094)was intersected with line AB, so I need to cancel that point from the matrix C, and the results should be like that: C=

   46.5816   21.1706
   29.2028   24.7608
   23.8874   15.4974
   19.3820   66.0560
   36.2145   57.9523
   14.4454   90.1348
   37.0270   99.0752
   49.1183   68.0090
   31.6019   30.9405

I used these code to plot 10 circles:

r=1; % radius of circles

th = linspace(0,2*pi) ;

x = r*cos(th) ;

y = r*sin(th) ;

% Loop for each circle

for i = 1:10 %10 is number of circles

    xc = C(i,1)+x ;
    yc = C(i,2)+y ;
    hold on
    plot(xc,yc) ;
end

Answer 1

[Thorsten]

For a horizontal line, you just have to check if the y position of the circle is closer to the line than the radius:

idx = abs(C(:,2) - 60) < 1

And to remove that circle, use

C(idx, :) = [];