JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
The maximum value of \(f(x)=\left|\begin{array}{ccc} \sin ^{2} x & 1+\cos ^{2} x & \cos 2 x \\ 1+\sin ^{2} x & \cos ^{2} x & \cos 2 x \\ \sin ^{2} x & \cos ^{2} x & \sin 2 x \end{array}\right|, x \in R \text { is }\)
- A \(\sqrt{7}\)
- B \(\frac{3}{4}\)
- C \(\sqrt{5}\)
- D \(5\)
Answer & Solution
Correct Answer
(C) \(\sqrt{5}\)
Step-by-step Solution
Detailed explanation
\(C _{1}+ C _{2} \rightarrow C _{1}\) \(\left|\begin{array}{ccc}2 & 1+\cos ^{2} x & \cos 2 x \\ 2 & \cos ^{2} x & \cos 2 x \\ 1 & \cos ^{2} x & \sin 2 x\end{array}\right|\) \(R _{1}- R _{2} \rightarrow R _{1}\)…
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