Example 10 - Chapter 4 Class 12 Determinants
Last updated at May 29, 2018 by Teachoo
Transcript
Example 10 Show that a b c a+2x b+2y c+2z x y z = 0 Taking L.H.S a b c a+2x b+2y c+2z x y z Expressing elements of 2nd row as sum of two elements = x y z + a b c 2x 2y 2z x y z = 0 + a b c 2x 2y 2z x y z = a b c x y z x y z Since, all elements of 2nd row are multiplied by 2, we can take 2 outside the determinant, = 2 a b c x y z x y z R2 & R3 are identical = 2 0 = 0 = R.H.S Thus L.H.S = R.H.S Hence proved
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Chapter 4 Class 12 Determinants
Serial order wise
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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.