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
CBSE Class 12 Sample Paper for 2020 Boards
CBSE Class 12 Sample Paper for 2020 Boards
Last updated at July 27, 2026 by Teachoo
Transcript
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 š 1ā š 1 + š 2 | (l + m + n n 2 m + n + l l 2 n + l + m m 2 )| Taking (š+š+š) common from š _1 (l + m + n) | 1 n 2 1 l 2 1 m 2 ] Since (š+š+š) is multiplied outside, it means that is a factor of the determinant