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By Using Properties of Determinants, Show That: |(1,X,Xsqrt2),(Xsqrt2,1,X),(X,Xsqrt2,1)| = (1-xcuberoot3)Sqrt2 - Mathematics

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Question

By using properties of determinants, show that:

`|(1,x,x^2),(x^2,1,x),(x,x^2,1)| = (1-x^3)^2`

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Solution

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Chapter 4: Determinants - Exercise 4.2 [Page 121]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.2 | Q 12 | Page 121

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