Question

$\left|\begin{array}{ccc}x-2& 2x-3& 3x-4\\ x-4& 2x-9& 3x-16\\ x-8& 2x-27& 3x-64\end{array}\right|=0,$ then $x$ is equal to:

• A. $-2$
• B. 3
• C. $-4$
• D. 4
• E. 0

Answer 1

Answer: (D)

$\left|\begin{array}{ccc}x-2& 2x-3& 3x-4\\ x-4& 2x-9& 3x-16\\ x-8& 2x-27& 3x-64\end{array}\right|=0$
In the given options only $x=4$ satisfy the given determinant.