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By Using Properties of Determinants, Show that |(A-b-c, 2a,2a),(2b, B-c-a,2b),(2c,2c, C-a-b)| = (A + B + C)Sqrt2 - Mathematics

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Question

By using properties of determinants, show that:

`|(a-b-c, 2a,2a),(2b, b-c-a,2b),(2c,2c, c-a-b)| = (a + b + c)^2`

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Solution

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Chapter 4: Determinants - Exercise 4.2 [Page 120]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.2 | Q 11.1 | Page 120

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