- Home
- Standard 12
- Mathematics
3 and 4 .Determinants and Matrices
easy
If $\left| {\,\begin{array}{*{20}{c}}{x - 1}&3&0\\2&{x - 3}&4\\3&5&6\end{array}\,} \right| = 0$, then $x =$
A
$0$
B
$2$
C
$3$
D
$1$
Solution
(d) Given equation reduces to $(x – 1)\,(6x – 38) = 0$
==> $3{x^2} – 22x + 19 = 0 \Rightarrow (x – 1)(3x – 19) = 0$
==> $x = 1,\,19/3$.
Standard 12
Mathematics