If the area of triangle AOB is 3.5, the equation of line L is solved

If the area of triangle AOB is 3.5, the equation of line L is solved

Let the line be y = ax + 1, that is ax-y + 1 = 0; the two intersections of the line and the circle are (x1, Y1), (X2, Y2) formula from the point to the line, (0,0) distance to ax-y + 1 = 0 is 1 / sqrt (1 + a ^ 2) chord length formula from the intersection of the line and the circle: chord length is | x1-x2 | sqrt (1 + A ^ 2) AOB distance is 3.5, then 1 / sqrt (1 + A ^ 2) * | X1 -