Решение:

import math

def intersection_circle_line$circl{e}_x,circl{e}_y,radius,A,B,C$:
K = 0
x1 = None
y1 = None
x2 = None
y2 = None

if A == 0:
y1 = -C / B
x1 = $B\ast circl{e}_y+math.sqrt(B\ast \ast 2\ast circl{e}_y\ast \ast 2-B\ast \ast 2\ast (circl{e}_y\ast \ast 2-radius\ast \ast 2+circl{e}_x\ast \ast 2))$ / B
x2 = $B\ast circl{e}_y-math.sqrt(B\ast \ast 2\ast circl{e}_y\ast \ast 2-B\ast \ast 2\ast (circl{e}_y\ast \ast 2-radius\ast \ast 2+circl{e}_x\ast \ast 2))$ / B
K = 2
elif B == 0:
x1 = -C / A
y1 = $A\ast circl{e}_x+math.sqrt(A\ast \ast 2\ast circl{e}_x\ast \ast 2-A\ast \ast 2\ast (circl{e}_x\ast \ast 2-radius\ast \ast 2+circl{e}_y\ast \ast 2))$ / A
y2 = $A\ast circl{e}_x-math.sqrt(A\ast \ast 2\ast circl{e}_x\ast \ast 2-A\ast \ast 2\ast (circl{e}_x\ast \ast 2-radius\ast \ast 2+circl{e}_y\ast \ast 2))$ / A
K = 2
else:
m = -A / B
c = -C / B
p = c - circle_x
q = circle_y
A = 1 + m**2
B = -2 * $circl{e}_x-m\ast q-p\ast m$ C = p**2 + q**2 - radius**2
D = B**2 - 4 * A * C
if D > 0:
x1 = $-B+math.sqrt(D)$ / $2\ast A$ y1 = m * x1 + c
x2 = $-B-math.sqrt(D)$ / $2\ast A$ y2 = m * x2 + c
K = 2
elif D == 0:
x1 = -B / $2\ast A$ y1 = m * x1 + c
K = 1
print$K$ if K >= 1:
print$":.5f:.5f".format(x1,y1)$ if K == 2:
print$":.5f:.5f".format(x2,y2)$Ввод данных

circle_x, circle_y, radius, A, B, C = map$int,input().split()$

Вызов функции и вывод результата

intersection_circle_line$circl{e}_x,circl{e}_y,radius,A,B,C$