If a & a & x m & m & m b & x & b =0 then … - Vidyadip

MCQ

If $ \begin{vmatrix} \text{a} &\text{amp; a} &\text{amp; x}\\ \text{m} &\text{amp; m} &\text{amp; m}\\ \text{b} &\text{amp; x} &\text{amp; b}\end{vmatrix}=0$ then $\text{x}=$

A
$a$
B
$b$
✓
$a$ or $b$
D
$0$

✓

Answer

Correct option: C.

$a$ or $b$

Determinant of a matrix is zero if $2$ rows or columns are same.
Hence, if $x= a$ we get $1^{\text {st }}$ and $3^{\text {rd }}$ column sameAlso
if $x = b$ we get $1^{\text {st }}$ and $2^{\text {nd }}$ column same.

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