Question

If $\Delta =\left|\begin{array}{ccc}1& 1& 1\\ 1& 1+x& 1\\ 1& 1& 1+y\end{array}\right|$ for $x\ne 0,y\ne 0$, then $\Delta$ is

• A. divisible by neither $x$ nor $y$.
• B. divisible by both $x$ and $y$
• C. divisible by $x$ but not $y$
• D. divisible by $y$ but not $x$.

Answer 1

Answer: (B)

divisible by both $x$ and $y$

ANSWER IS B