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Matrices and Determinants

Section: Mathematics

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Question : 22

Total: 56

Let

sin4θ	−1−sin2θ
1+cos2θ	cos4θ

Where α=α(θ) and β=β(θ) are real numbers, and I is the 2×2 identity matrix. If
α* is the minimum of the set {α(θ):θ∈[0,π)} and
β* is the minimum of the set {β(θ):θ∈[0,2π)}.Then the value of α*+β* is

[JEE Adv 2019 P1]

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29
16
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37
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31
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16

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