If |{(a1 - b1)^2 (a1 - b2)^2 (a1 - b3)^2} {(a2 - b1)^2 (a2 - b2)^2 (a2 - b3)^2} {(a3 - b1)^2 (a3 - b2)^2 (a3 - b3)^2}|

Question

If \(\begin{vmatrix} (a_1 - b_1)^2& (a_1 -b_2)^2&(a_1 - b_3)^2\\(a_2 - b_1)^2&(a_2 -b_2)^2&(a_2 - b_3)^2\\(a_3-b_1)^2&(a_3 - b_2)^2&(a_3 - b_3)^2\end{vmatrix}\) = k(a₁ – a₂)(a₂ – a₃)(a₃ – a₁)(b₁ – b₂)(b₂ – b₃)(b₃ – b₁), then k is equal to

(a) 1

(b) 2

(c) 4

(d) 8

Answer 1

Correct option is (b) 2

The given determinant can be written as