Question

The values of x in the following determinant equation, $\left| \begin{matrix} a + x & a - x & a - x \\ a - x & a + x & a - x \\ a - x & a - x & a + x \end{matrix} \right| = 0$ are.

• A. $x = 0,x = 4a$
• B. $x = 0,x = a$
• C. $x = 0,x = 2a$
• D. $x = 0,x = 3a$

Answer 1

Answer: (D)

$x = 0,x = 3a$

Answer 2

Sol. Trick: Putting $x = 0$ and $x = 3a,$ the value of

determinant becomes zero.