Mathematics · 2020
JEE Main · 6 September 2020, Shift 1 · Q54
Let m and M be respectively the minimum and maximum values of |cos^2 x, 1+ sin^2 x, sin 2 x; 1+ cos^2 x, sin^2 x, sin 2 x; cos^2 x, sin^2 x, 1+ sin 2…
Let m and M be respectively the minimum and maximum values of
$$\left|\begin{array}{ccc}
\cos ^2 x & 1+\sin ^2 x & \sin 2 x \\
1+\cos ^2 x & \sin ^2 x & \sin 2 x \\
\cos ^2 x & \sin ^2 x & 1+\sin 2 x
\end{array}\right| .
$$
Then the ordered pair (m, M) is equal to :
Official answer
(1)
$\displaystyle (-3, -1)$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.