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Mathematics Question on Determinant

If, f(x)=[0x−ax−b\[0.3em]x+aox−c\[0.3em]x+bx+c0\[0.3em]]f(x) = \begin{bmatrix}0 & x-a & x-b \\\[0.3em]x+a&o & x-c \\\[0.3em]x+b & x+c & 0\\\[0.3em] \end{bmatrix}, then f(0)f(0) is:

A

3abc

B

- abc

C

abc

D

0

Answer

0

Explanation

Solution

The correct option is (D): 0