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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 - CBSE (Commerce) Class 12 - Mathematics

ConceptDeterminant of a Matrix of Order 3 × 3

#### 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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Solution Using the Property of Determinants and Without Expanding, Prove That: |(X, A, X+A),(Y,B,Y+B),(Z,C, Z+ C)| = 0 Concept: Determinant of a Matrix of Order 3 × 3.
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