Check whether (l + m + n) is a factor of the determinant |(l + m) (m + n) (n + l) n l m 2 2 2| or not. Give Reason
![Question 16 - CBSE Class 12 Sample Paper for 2020 Boards - Part 2](https://cdn.teachoo.com/efbb2162-28fa-4a7f-963f-53e587c37abd/slide41.jpg)
CBSE Class 12 Sample Paper for 2020 Boards
CBSE Class 12 Sample Paper for 2020 Boards
Last updated at Dec. 16, 2024 by Teachoo
Question 16 Check whether (l + m + n) is a factor of the determinant |(l + m) (m + n) (n + l) n l m 2 2 2| or not. Give Reason | (l + m n 2 m + n l 2 n + l m 2 )| Applying 𝑅1→ 𝑅 1 + 𝑅2 | (l + m + n n 2 m + n + l l 2 n + l + m m 2 )| Taking (𝑙+𝑚+𝑛) common from 𝑅_1 (l + m + n) | 1 n 2 1 l 2 1 m 2 ] Since (𝑙+𝑚+𝑛) is multiplied outside, it means that is a factor of the determinant