If maximum and minimum values of the cterin!liat? \[ \left|\begin{array}{ccc} 1+\sin ^{2} x & \c...

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If maximum and minimum values of the cterin!liat?
\[
\left|\begin{array}{ccc}
1+\sin ^{2} x & \cos ^{2} x & \sin 2 x \\
\sin ^{2} x & 1+\cos ^{2} x & \sin 2 \\
\sin ^{2} x & \cos ^{2} x & 1+\sin 2 x
\end{array}\right|
\]
are \( \alpha \) and \( \beta \), then
(a) \( \alpha+\beta^{91}=4 \)
(b) \( \alpha^{3}-\beta^{17}=26 \)
(c) \( \left(\alpha^{2 n}-\beta^{2 n}\right) \) is always an even integer for \( \| \in N \)
(d) a triangle can be drawn having it's sides as \( \% \); and \( \alpha-\beta \)
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