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Let  
where α = α(β) and β = β(θ) are real number, and I is the 2 × 2 identity matrix. If
α* is the minimum of the set {α(θ) : θ ∈ [0, 2π)} and
β* is the minimum of the set {β(θ) : θ ∈ [0, 2π),
then the value of α* + β* is
  • a)
    -37/16
  • b)
    -29/16
  • c)
    -31/16
  • d)
    -17/16
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Letwhere α = α(β) and β = β(θ) are re...
Given M = αI + βM–1
⇒ M2 – αM – βI = O
By putting values of M and M2, we get


⇒ 
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Letwhere α = α(β) and β = β(θ) are real number, and I is the 2 × 2 identity matrix. Ifα* is the minimum of the set {α(θ) : θ ∈ [0, 2π)} andβ* is the minimum of the set {β(θ) : θ ∈ [0, 2π),then the value of α* + β* isa)-37/16b)-29/16c)-31/16d)-17/16Correct answer is option 'B'. Can you explain this answer?
Question Description
Letwhere α = α(β) and β = β(θ) are real number, and I is the 2 × 2 identity matrix. Ifα* is the minimum of the set {α(θ) : θ ∈ [0, 2π)} andβ* is the minimum of the set {β(θ) : θ ∈ [0, 2π),then the value of α* + β* isa)-37/16b)-29/16c)-31/16d)-17/16Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Letwhere α = α(β) and β = β(θ) are real number, and I is the 2 × 2 identity matrix. Ifα* is the minimum of the set {α(θ) : θ ∈ [0, 2π)} andβ* is the minimum of the set {β(θ) : θ ∈ [0, 2π),then the value of α* + β* isa)-37/16b)-29/16c)-31/16d)-17/16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Letwhere α = α(β) and β = β(θ) are real number, and I is the 2 × 2 identity matrix. Ifα* is the minimum of the set {α(θ) : θ ∈ [0, 2π)} andβ* is the minimum of the set {β(θ) : θ ∈ [0, 2π),then the value of α* + β* isa)-37/16b)-29/16c)-31/16d)-17/16Correct answer is option 'B'. Can you explain this answer?.
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