Let \( \alpha, \beta, \gamma, \delta \) be real numbers such that \...

Let \( \alpha, \beta, \gamma, \delta \) be real numbers such that \( \alpha^{2}+\beta^{2}+\gamma^{2} \neq 0 \) and \( \alpha+\gamma=1 \). Suppose the point \( (3,2,-1) \) is the mirror image of the point \( (1,0,-1) \) with respect to the plane \( \alpha x+\beta y+\gamma z=\delta \). Then which of the following statements is/ are TRUE?
(a) \( \alpha+\beta=2 \)
(b) \( \delta-\gamma=3 \)
(c) \( \delta+\beta=4 \)
(d) \( \alpha+\beta+\gamma=\delta \)