Let \( m_{1}, m_{2} \) be the slopes of two adjacent sides of a square of side a such that \( a^...

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Let \( m_{1}, m_{2} \) be the slopes of two adjacent sides of a square of side a such that
\( a^{2}+11 a+3\left(m_{1}^{2}+m_{2}^{2}\right)=220 \). If one vertex of the square is
\( (10(\cos \alpha-\sin \alpha), 10(\sin \alpha+\cos \alpha)) \), where \( \alpha \in\left(0, \frac{\pi}{2}\right) \)
and the equation of one diagonal is \( (\cos \alpha-\sin \alpha) x+(\sin \)
\( \alpha+\cos \alpha) y=10 \), then \( 72\left(\sin ^{4} \alpha+\cos ^{4} \alpha\right)+a^{2}-3 a+13 \) is
- equal to :
(a) 119
(b) 128
(c) 145
(d) 155
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