If f(x) = |(0,x-a,x-b)(x+a,0,x-c)(x+b,x+c,0)|, then ​

Question

Mark the correct alternative in the following :

If f(x) = \(\begin{vmatrix} 0 & x-a & x-b \\[0.3em] x+a & 0 & x-c \\[0.3em] x+b & x+c & 0 \end{vmatrix}\), then

A. f(a) = 0 

B. 3bc 

C. a³ + b³ + c³ – 3abc 

D. none of these

Answer 1

Correct answer : (D)

f(x) = \(\begin{vmatrix} 0 & x-a & x-b \\[0.3em] x+a & 0 & x-c \\[0.3em] x+b & x+c & 0 \end{vmatrix}\)