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Using the Property of Determinants and Without Expanding, Prove That: |(1, Bc, A(B+C)),(1, Ca, B(C+A)),(1, Ab, C(A+B))| = 0 - Mathematics

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Question

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

`|(1, bc, a(b+c)),(1, ca, b(c+a)),(1, ab, c(a+b))| = 0`

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Solution

Here, two columns C1 and Care proportional.

∴Δ = 0.

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Chapter 4: Determinants - Exercise 4.2 [Page 119]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.2 | Q 4 | Page 119

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