Mathematics · 2014
JEE Main · 12 April 2014, Shift 1 · Q89
If f(θ)= |1, cos θ, 1; - sin θ, 1, - cos θ; -1, sin θ, 1| and A and B are respectively the maximum and the minimum values of f(θ), then (A, B) is…
If $\displaystyle f(\theta)=\left|\begin{array}{ccc}1 & \cos \theta & 1 \\ -\sin \theta & 1 & -\cos \theta \\ -1 & \sin \theta & 1\end{array}\right|$ and
A and B are respectively the maximum and the minimum values of $\displaystyle f(\theta)$, then (A, B) is equal to :
Official answer
(3)
$\displaystyle (2+\sqrt{2}, 2-\sqrt{2})$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.