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Using the Property of Determinants and Without Expanding, Prove That: |(X, A, X+A),(Y,B,Y+B),(Z,C, Z+ C)| = 0 - Mathematics

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Question

Using the property of determinants and without expanding, prove that:

`|(x, a, x+a),(y,b,y+b),(z,c, z+ c)| = 0`

Solution

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Chapter 4: Determinants - Exercise 4.2 [Page 119]

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NCERT Mathematics [English] Class 12
Chapter 4 Determinants
Exercise 4.2 | Q 1 | Page 119

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