MCQ
જો $\begin{vmatrix}a-x&c&b\\c&b-x&a\\b&a&c-x\end{vmatrix}= 0$ નો એક ઉકેલ ....... છે.
- A${a^2} + {b^2} + {c^2}$
- ✓$0$
- C$1$
- D$2$
$\xrightarrow[{{C_{31}}\left( 1 \right)}]{{{C_{21}}}}\begin{vmatrix}a+b+c-x&c&b\\a+b+c-x&b-x&a\\a+b+c-x&a&c-x\end {vmatrix}=0$
$a+b+c=0$ લેતા
$\begin{vmatrix}-x&c &b \\{-x} & {b-x} & a\\{-x} & {a} & c-x\end{vmatrix}=0$
$\therefore-x\begin{vmatrix}1&c&b\\{1} & {b-x} & a\\{1} & {a} & c-x\end{vmatrix}=0$
એક ઉકેલ $x=0$ થાય
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