Question

Solution of the equation$\left| \begin{matrix} 1 & 1 & x \\ p + 1 & p + 1 & p + x \\ 3 & x + 1 & x + 2 \end{matrix} \right| = 0$are.

• A. $x = 1,2$
• B. $x = 2,3$
• C. $x = 1,p,2$
• D. $x = 1,2, - p$

Answer 1

Answer: (A)

$x = 1,2$

Answer 2

$A = \left| \begin{matrix} 1 & 1 & x \\ p + 1 & p + 1 & p + x \\ 3 & x + 1 & x + 2 \end{matrix} \right|$

$|A| = 0\text{for}x = 1\text{ and }2$. So option (1) is correct.