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By Using Properties of Determinants, Show That: |(X+Y+2z, X, Y),(Z, Y+Z+2z,Y),(Z,X,Z+X+2y)| = 2(X+Y+Z)Cuberoot3 - Mathematics

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Question

By using properties of determinants, show that:

`|(x+y+2z, x, y),(z, y+z+2z,y),(z,x,z+x+2y)| = 2(x+y+z)^3`

Solution

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Chapter 4: Determinants - Exercise 4.2 [Page 120]

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NCERT Mathematics [English] Class 12
Chapter 4 Determinants
Exercise 4.2 | Q 11.2 | Page 120

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