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By Using Properties of Determinants, Show That: |(X,Xsqrt2,Yz),(Y,Ysqrt2,Zx),(Z,Zsqrt2,Xy)| = (X-y)(Y-z)(Z-x)(Xy+Yz+Zx) - Mathematics

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Question

By using properties of determinants, show that:

`|(x,x^2,yz),(y,y^2,zx),(z,z^2,xy)| = (x-y)(y-z)(z-x)(xy+yz+zx)`

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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 9 | Page 120

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