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(m_1^2+m_2^2)=220. If one vertex of the square is (10(\cos \alpha-\sin \alpha), 10(\sin \alpha+\cos \alpha)), where \alpha \in(0, \frac{\pi}{2}) and the equation of one diagonal is (\cos \alpha-\sin \alpha) x+(\sin \alpha+\cos \alpha) y-10, then 72(\sin ^4 \alpha+\cos ^4 \alpha)+a^2-3 a+13 is equal to: [29-Jul-2022-Shift-2]

Straight Lines and Pair of Straight Lines Part 2

Section: Mathematics

Question : 62 of 72

Marks: +1, -0

Let m1,m2 be the slopes of two adjacent sides of a square of side a such that a2+11a+3(m12+m22)=220. If one vertex of the square is (10(cos‌α−sin‌α),10(sin‌α+cos‌α)), where α∈(0,‌

) and the equation of one diagonal is (cos‌α−sin‌α)x+(sin‌α+cos‌α)y−10, then 72(sin4α+cos4α)+a2−3a+13 is equal to:

[29-Jul-2022-Shift-2]

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