Question

Value of \(\begin{vmatrix} 1 & bc& a(b + c) \\[0.3em] 1 & ca & b(c + a) \\[0.3em] 1 &ab & c(a + b) \end{vmatrix}\) is:

(a) ab + bc + ca

(b) 0

(c) 1

(d) abc

Answer 1

Answer is (b)

 \(\begin{vmatrix} 1 & bc& a(b + c) \\[0.3em] 1 & ca & b(c + a) \\[0.3em] 1 &ab & c(a + b) \end{vmatrix}\)