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By Using Properties of Determinants, Show That: |(Asqrt2+1, Ab, Ac),(Ab, Bsqrt2+1, Bc),(Ca, Cb, Csqrt2+1)| = 1+Asqrt2bsqrt2+Csqrt2 - Mathematics

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Question

By using properties of determinants, show that:

`|(a^2+1, ab, ac),(ab, b^2+1, bc),(ca, cb, c^2+1)| = 1+a^2+b^2+c^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 14 | Page 121

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