Question

If $\left| \begin{matrix} x - 1 & 3 & 0 \\ 2 & x - 3 & 4 \\ 3 & 5 & 6 \end{matrix} \right| = 0$, then x =

• A. 0
• B. 2
• C. 3
• D. 1

Answer 1

Answer: (D)

1

Answer 2

$\because$Given equation reduces to

$(x - 1)(6x - 38) = 0$

⇒ $3x^{2} - 22x + 19 = 0 \Rightarrow (x - 1)(3x - 19) = 0$

⇒ $x = 1,19/3$.