CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

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Question 40 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 14, 2026 by

Given that A = [8(α β γ -α )] and A 2 = 3I, then :

(a) 1 + 𝛼 2 + 𝛽𝛾 = 0  (b) 1 − 𝛼 2 − 𝛽𝛾 = 0

(c) 3 − 𝛼 2 − 𝛽𝛾 = 0  (d) 3 + 𝛼 2 + 𝛽𝛾 = 0

Ques 40 (MCQ) - Given that A = [𝛼 𝛽 𝛾 −𝛼] and A2 = 3I, then - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

part 2 - Question 40 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Transcript

Question 40 Given that A = [■8(𝛼&𝛽@𝛾&−𝛼 )] and A2 = 3I, then : a) 1 + 𝛼2 + 𝛽𝛾 = 0 b) 1 − 𝛼2 − 𝛽𝛾 = 0 c) 3 − 𝛼2 − 𝛽𝛾 = 0 d) 3 + 𝛼2 + 𝛽𝛾 = 0 Given A2 = 3I [■8(𝛼&𝛽@𝛾&−𝛼)] [■8(𝛼&𝛽@𝛾&−𝛼)] = 3I [■8(𝛼(𝛼)+𝛽(𝛾)&𝛼(𝛽)+𝛽(−𝛼)@𝛾(𝛼)+(−𝛼)𝛾&𝛾(𝛽)+(−𝛼)(−𝛼))] = 3 [■8(1&0@0&1)] [■8(𝜶^𝟐+𝜷𝜸&𝟎@𝟎&𝜶^𝟐+𝜷𝜸)] = [■8(𝟑&𝟎@𝟎&𝟑)] Thus, 𝜶^𝟐⤶7+𝜷𝜸 = 3 0 = 3 − 𝛼^2−𝛽𝛾 3 − 𝛼2 − 𝛽𝛾 = 0 So, the correct answer is (C)

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