If |a^2, b^2, c^2; (a+λ)^2, (b+λ)^2, (c+λ)^2; (a-λ)^2, (b-λ)^2, (c-λ)^2| =k λ |a^2, b^2, c^2; a, b, c; 1, 1, 1|, λ ≠ 0, then k is equal to:

If $$\left|\begin{array}{ccc} a^2 & b^2 & c^2 \\ (a+\lambda)^2 & (b+\lambda)^2 & (c+\lambda)^2 \\ (a-\lambda)^2 & (b-\lambda)^2 & (c-\lambda)^2 \end{array}\right|=k \lambda\left|\begin{array}{ccc} a^2 & b^2 & c^2 \\ a & b & c \\ 1 & 1 & 1 \end{array}\right|, \lambda \neq 0, $$ then k is equal to :