JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
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
- A \((-3,-1)\)
- B \((-4,-1)\)
- C \((1,3)\)
- D \((-3,3)\)
Answer & Solution
Correct Answer
(A) \((-3,-1)\)
Step-by-step Solution
Detailed explanation
\(\left|\begin{array}{ccc}\cos ^{2} x & 1+\sin ^{2} x & \sin 2 x \\ 1+\cos ^{2} x & \sin ^{2} x & \sin 2 x \\ \cos ^{2} x & \sin ^{2} x & 1+\sin 2 x\end{array}\right|\) \(R_{1} \rightarrow R_{1}-R_{2}, R_{2} \rightarrow R_{2}-R_{3}\)…
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