The value of the determinant $\begin{vmatrix}a+b & b+c & c+a\\c & a & b\\1 & 1 & 1\end{vmatrix}$ is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 0
$Δ=\begin{vmatrix}a+b & b+c & c+a\\c & a & b\\1 & 1 & 1\end{vmatrix}$
$R_1→R_1+R_2$
$\begin{vmatrix}a+b+c & a+b+c & a+b+c\\c & a & b\\1 & 1 & 1\end{vmatrix}$
$R_1$ is identical to $R_2$
$⇒Δ=0$