Let a, b, c, d be in arithmetic progression with common difference λ. If |(x+a-c, x+b, x+a), (x-1, x+c, x+b), (x-b+d, x+d, x+c)|

Question

Let a, b, c, d be in arithmetic progression with common difference λ. If

\(\begin{vmatrix} x+a-c & x+b & x+a \\ x-1 & x+c & x+b \\ x-b+d & x+d & x+c \end{vmatrix}\) = 2,

|(x+a-c, x+b, x+a), (x-1, x+c, x+b), (x-b+d, x+d, x+c)|

then value of λ² is equal to ___________.

Answer 1

Answer is: λ² = 1