Misc 9 - Chapter 4 Class 12 Determinants
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Misc 9 Evaluate + + + Let = + + + Applying R1 R1 + R2 + R3 = + + + + + + + + + + + = 2x+2y 2x+2y 2x+2y y x+y x x+y x y = ( + ) ( + ) ( + ) y x+y x x+y x y Taking common 2(x + y), from R1 = ( + ) 1 1 1 y x+y x x+y x y Applying C2 C2 C1 = 2(x+y) 1 1 y x+y x x+y x x y y = 2(x+y) 1 1 y x x x+y y x Applying C3 C3 C1 = 2(x+y) 1 0 y x x y x+y y y x y = 2(x+y) 1 0 y x x y x+y y x Expanding determinant along R1 = 2(x+y) 1 0 + +0 + = 2(x+y) 1 0+0 = 2(x+y) (1( x2 ( y) (x y)) ) = 2(x+y) ( x2 + y (x y)) = 2(x+y) ( x2 + xy y2) = 2(x+y) ( x2 + y2 xy) = 2(x3+y3) Hence , = 2( + )
Miscellaneous
Misc 1
Misc. 2 Important
Misc 3
Misc 4
Misc 5
Misc 6 Important
Misc 7 Important
Misc 8
Misc 9 You are here
Misc 10
Misc 11 Important
Misc 12 Important
Misc. 13
Misc 14
Misc. 15 Important
Misc. 16 Important
Misc 17 Important
Misc 18
Misc 19 Important
Matrices and Determinants - Formula Sheet and Summary
Chapter 4 Class 12 Determinants
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.