JEE Math Practice Question
If $$D = \left| {\begin{matrix} 1 & 1 & 1 \\ 1 & {1 + x} & 1 \\ 1 & 1 & {1 + y} \\ \end{matrix} } \right|$$ for $$x \ne 0,y \ne 0,$$ then $$D$$ is :
- A.divisible by $$x$$ but not $$y$$
- B.divisible by $$y$$ but not $$x$$
- C.divisible by neither $$x$$ nor $$y$$
- D.divisible by both $$x$$ and $$y$$
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