Let at be the set of all \( 3 \times 3 \) symmetric matrices whose entries are \( 1,1,1,0,0,0,-1...
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Let at be the set of all \( 3 \times 3 \) symmetric matrices whose entries are \( 1,1,1,0,0,0,-1,-1,-1 \). B is one of the matrix in set and
\( \mathrm{P} \) \( X=\left[\begin{array}{l}x \\ y \\ z\end{array}\right] \)
\[
\mathrm{U}=\left[\begin{array}{l}
0 \\
0 \\
0
\end{array}\right] \quad \mathrm{V}=\left[\begin{array}{l}
1 \\
0 \\
0
\end{array}\right] .
\]
W
Number of such matrices B in set is \( \lambda \), then \( \lambda \) lies in the interval
(A) \( (30,40) \)
(B) \( (38,40) \)
(C) \( (34,38) \)
(D) \( (25,35) \)
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