If f (x) = | array ccc 1+ ^ 2 x & ^ 2 x & 4 2 x ^ 2 x & 1+ ^ 2 x & 4 2 x ^ 2 x & ^ 2 x &…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
If f (x) = \[\left|\begin{array}{ccc}
1+\sin ^{2} \mathrm{x} & \cos ^{2} \mathrm{x} & 4 \sin 2 \mathrm{x} \\
\sin ^{2} \mathrm{x} & 1+\cos ^{2} \mathrm{x} & 4 \sin 2 \mathrm{x} \\
\sin ^{2} \mathrm{x} & \cos ^{2} \mathrm{x} & 1+4 \sin 2 \mathrm{x}
\end{array}\right|\],
f (a ) and f (b ) be the least and greatest value of f (x), then
f (a ) and f (b ) be the least and greatest value of f (x), then
- f (a ) = 2, f (b ) = 6
- f (a ) = – 2, f (b ) = 6
- f (a ) = 2, f (b ) = – 6
- period of f (x) is π
Answer
(B) f (a ) = – 2, f (b ) = 6, (D) period of f (x) is π
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