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CBSE 2023 · Region 4 · Set 1 · Q5 · 1 mark

The value of $\displaystyle \left|\begin{array}{ccc}\mathrm{x}+\mathrm{y} & \mathrm{y}+\mathrm{z} & \mathrm{z}+\mathrm{x} \\ \mathrm{z} & \mathrm{x} & \mathrm{y} \\ 1 & 1 & 1\end{array}\right|$ is

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