Mathematics · 2022
JEE Main · 29 July 2022, Shift 2 · Q11
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…
Let $\displaystyle m_1, m_2$ be the slopes of two adjacent sides of a square of side a such that $\displaystyle a^2+11 a+3\left(m_1^2+m_2^2\right)=220$. If one vertex of the square is $\displaystyle (10(\cos \alpha-\sin \alpha), 10(\sin \alpha+\cos \alpha))$, where $\displaystyle \alpha \in\left(0, \frac{\pi}{2}\right)$ and the equation of one diagonal is $\displaystyle (\cos \alpha-\sin \alpha) x+(\sin \alpha+\cos \alpha) y=10$, then $\displaystyle 72\left(\sin ^4 \alpha+\cos ^4 \alpha\right)+a^2-3 a+13$ is equal to :
Official answer
(2)
$\displaystyle 128$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.