If f(x) = |{x-3 2x^2-18 3x^3-81} {x-5 2x^2-50 4x^3-500} {1 2 3}|, then f(1).f(3) + f(3).f(5) + f(5).f(1) =

Question

If \(f(x) = \begin{vmatrix}x-3&2x^2 -18&3x^3-81\\x-5&2x^2-50&4x^3-500\\1&2&3\end{vmatrix}\), then f(1).f(3) + f(3).f(5) + f(5).f(1) = 

(a) f(3)

(b) 0

(c) 2928

(d) None of these

Answer 1

Correct options are (a) & (b).