If for some \( \alpha \) and \( \beta \) in \( \mathrm{R} \), the i...

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If for some \( \alpha \) and \( \beta \) in \( \mathrm{R} \), the intersection of the following three planes
\[
\begin{array}{l}
x+4 y-2 z=1 \\
x+7 y-5 z=\beta \\
x+5 y+\alpha z=5
\end{array}
\]
\( \mathrm{P} \)
W
is a line in \( \mathrm{R}^{3} \), then \( \alpha+\beta \) is equal to :
(1) 10
(2) \( -10 \)
(3) 2
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