MCQ
જો$a$
$a,b,c\begin{vmatrix}{a}&{2b}&{2c}\\3&b&c\\4&a&b\end{vmatrix}=0$ ને સંતોષે તો $abc = .........$
- A$a + b + c$
- B$0$
- ✓${b^3}$
- D$ab + bc$
$\Rightarrow\begin{vmatrix}{a}&{2b}&{2c}\\3&b&c\\4&a&b\end{vmatrix}=0$
$R_1 \rightarrow R_1-2 R_2$
$\begin{vmatrix}{a-6}&{0}&{0}\\3&b&c\\4&a&b\end{vmatrix}=0$
$\Rightarrow (a-6)(b^2-ac)=0$
$\Rightarrow b^2-ac=0$ અને $a=6$
$\Rightarrow b^2=ac$
$\Rightarrow b^3=abc$
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