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IIT JEE Advanced 2011 Paper 1

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Let a, b and c be three real numbers satisfying
[abc][197827737]\begin{bmatrix} a & b & c \end{bmatrix} \begin{bmatrix} 1 & 9 & 7 \\ 8 & 2 & 7 \\ 7 & 3 & 7 \end{bmatrix} = [000]\begin{bmatrix} 0 & 0 & 0 \end{bmatrix} (E)
Section: Mathematics
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