Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Which of the following determinant has the correct value ?

Options:

$\begin{vmatrix} x & a & x+a\\y & b & y+b\\z & c & z+c\end{vmatrix}= xyz $

$\begin{vmatrix} x & x & a\\y & y & b\\z & z & c\end{vmatrix}= abc$

$\begin{vmatrix} x & a & +x\\y & b & +y\\z & c & +z\end{vmatrix}= 0$

$\begin{vmatrix} x+a & a & x\\y+b & b & y\\z+c & c & z\end{vmatrix}= abc$

Correct Answer:

$\begin{vmatrix} x & a & +x\\y & b & +y\\z & c & +z\end{vmatrix}= 0$