Question

If $\begin{vmatrix}1+ax&1+bx&1+cx\\ 1+a_{1}x&1+b_{1}x&1+c_{1} x\\ 1+a_{2}x&1+b_{2}x&1+c_{2}x\end{vmatrix}=A_{0}+A_{1}x+A_{2}x^{2}+A_{3}x^{3}$,
then $A_{0}$ is equal to

• A. a b c
• B. 1
• C. 0
• D. None of these

Answer 1

Answer: (C)

On putting x = 0 both sides we get
$\begin{vmatrix}1&1&1\\ 1&1&1\\ 1&1&1\end{vmatrix}=A_{0}$
$\Rightarrow A_{0}=0$