1.
Let ∣abcαβγa−αb−βc−γ∣=0\begin{vmatrix} a & b & c \\ \alpha & \beta & \gamma \\ a-\alpha & b-\beta & c-\gamma \end{vmatrix} = 0, where a≠αa \neq \alpha, β≠b\beta \neq b, c≠γc \neq \gamma and a,b,c,α,β,γa, b, c, \alpha, \beta, \gamma are non-zero distinct real numbers. Then ∣abγαbγa−αb+γγ−c∣\begin{vmatrix} a & b & \gamma \\ \alpha & b & \gamma \\ a-\alpha & b+\gamma & \gamma-c \end{vmatrix} is equal to: