English

Prove that |(Asqrt2, Bc, Ac+Csqrt2),(Asqrt2+Ab, Bsqrt2, Ac),(Ab, Bsqrt2+Bc, Csqrt2)| = 4asqrt2bsqrt2csqrt2

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Question

Prove that `|(a^2, bc, ac+c^2),(a^2+ab, b^2, ac),(ab, b^2+bc, c^2)| = 4a^2b^2c^2`

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Solution

Hence, the given result is proved.

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Chapter 4: Determinants - Exercise 4.7 [Page 141]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.7 | Q 6 | Page 141
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