Mathematics · 2020
JEE Main · 5 September 2020, Shift 1 · Q54
If the minimum and the maximum values of the function f:[(π)/4, (π)/2] → R, defined by f(θ)= |- sin^2 θ, -1- sin^2 θ, 1; - cos^2 θ, -1- cos^2 θ, 1;…
If the minimum and the maximum values of the function $\displaystyle f:\left[\frac{\pi}{4}, \frac{\pi}{2}\right] \rightarrow \mathbf{R}$, defined by
$$f(\theta)=\left|\begin{array}{ccc}
-\sin ^2 \theta & -1-\sin ^2 \theta & 1 \\
-\cos ^2 \theta & -1-\cos ^2 \theta & 1 \\
12 & 10 & -2
\end{array}\right|
$$
are m and M respectively, then the ordered pair (m, M) is equal to :
Official answer
(3)
$\displaystyle (-4, 0)$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.