Let \( A_1, B_1, C_1 \) be three points in the \( xy \)-plane. Suppose that the lines \( A_1C_1 \) and \( B_1C_1 \) are tangents to the curve \( y^2 = 8x \) at \( A_1 \) and \( B_1 \), respectively. If \( O = (0, 0) \) and \( C_1 = (-4, 0) \), then which of the following statements is (are) TRUE?