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Matrices and Determinants question

2007 · Shift 0 · Q51

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JEE Main
Mathematics
Matrices and Determinants
2007 · Shift 0 · Q51

Matrices and Determinants question

2007 · Shift 0 · Q51

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If

D = \left| {\begin{matrix} 1 & 1 & 1 \\ 1 & {1 + x} & 1 \\ 1 & 1 & {1 + y} \\ \end{matrix} } \right|

for

x e 0,y e 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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