If the real numbers a, B and C form an arithmetic sequence, find the trajectory equation of the midpoint of the line segment by finding the family of lines ax + by + C = 0 cut by the circle x ^ 2 + y ^ 2 = 5

If the real numbers a, B and C form an arithmetic sequence, find the trajectory equation of the midpoint of the line segment by finding the family of lines ax + by + C = 0 cut by the circle x ^ 2 + y ^ 2 = 5

The trajectory equation is: (x-1 / 2) &# 178; + (y + 1) &# 178; = 5 / 4
The detailed analysis and solution process is in the resources