Question 7 - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 14, 2026 by Teachoo

Question 7 - If A is a skew-symmetric matrix then the value of a+b+c - CBSE Class 12 Sample Paper for 2025 Boards

part 2 - Question 7 - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

part 3 - Question 7 - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 7 If 𝐴=[■(0&1&𝑐@−1&𝑎&−𝑏@2&3&0)] is a skew-symmetric matrix then the value of 𝑎+𝑏+𝑐= (A) 1 (B) 2 (C) 3 (D) 4 In a skew symmetric matrix A’ = −A Putting values [■(0&−1&2@1&𝑎&3@c&−b&0)]=−[■(0&1&𝑐@−1&𝑎&−𝑏@2&3&0)] [■(0&−1&2@1&𝑎&3@c&−b&0)]=[■(−0&−1&−𝑐@−(−1)&−𝑎&−(−𝑏)@−2&−3&−0)] [■(0&−1&2@1&𝑎&3@c&−b&0)]=[■(0&−1&−𝑐@1&−𝑎&𝑏@−2&−3&0)] Since matrices are equal, its corresponding terms are equal. So, c = −2 b = 3 And, a = − a a + a = 0 2a = 0 a = 0 Thus, a + b + c = 0 + 3 − 2 = 1 So, the correct answer is (A)

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