Let $a$ be a real number. The number of distinct solutions $(x, y)$ of the system of equations $(x - a)^2 + y^2 = 1$ and $x^2 = y^2$, can only be (A) $0, 1, 2, 3, 4$ or 5 (B) 0, 1 or 3 (C) $0, 1, 2$ or 4 (D) $0, 2, 3$, or 4
Let $a$ be a real number. The number of distinct solutions $(x, y)$ of the system of equations $(x - a)^2 + y^2 = 1$ and $x^2 = y^2$, can only be\\
(A) $0, 1, 2, 3, 4$ or 5\\
(B) 0, 1 or 3\\
(C) $0, 1, 2$ or 4\\
(D) $0, 2, 3$, or 4