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# Solution - Using the Property of Determinants and Without Expanding, Prove that |(A-b,B-c,C-a),(B-c,C-a,A-b),(A-a,A-b,B-c)| = 0 - CBSE (Science) Class 12 - Mathematics

#### Question

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

|(a-b,b-c,c-a),(b-c,c-a,a-b),(a-a,a-b,b-c)| = 0

#### Solution

Here, the two rows R1 and R3 are identical.

Δ = 0.

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#### Reference Material

Solution for question: Using the Property of Determinants and Without Expanding, Prove that |(A-b,B-c,C-a),(B-c,C-a,A-b),(A-a,A-b,B-c)| = 0 concept: Properties of Determinants. For the courses CBSE (Science), CBSE (Arts), CBSE (Commerce)
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