Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

The value of $Δ=\begin{vmatrix}b-c&c-a&a-b\\c-a&a-b&b-c\\a-b &b-c &c-a\end{vmatrix}$ is

Options:

$a+b+c$

0

1

none of these

Correct Answer:

0

Explanation:

$Δ=\begin{vmatrix}b-c&c-a&a-b\\c-a&a-b&b-c\\a-b &b-c &c-a\end{vmatrix}$

 $C_1→C_1+C_2 + C_3$

$Δ=\begin{vmatrix}0&c-a&a-b\\0&a-b&b-c\\0 &b-c &c-a\end{vmatrix}=0$