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 Feb. 12, 2025 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

Next: Question 8 Important → Share on WhatsApp

Transcript

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)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular