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NDA 2011
Exam
NDA
Year
2011
Subject
Mathematics
Chapter
Determinants

NDA 2011 · Mathematics · Determinants

What is the value of the determinant | array lll a-b & b+c & a b-c...

What is the value of the determinant \left|a−bb+cab−cc+abc−aa+bc\begin{array}{lll}a-b & b+c & a \\ b-c & c+a & b \\ c-a & a+b & c\end{array}\right| ?

Options

  1. Aa3+b3+c3a^3+b^3+c^3
  2. B3bc3 b c
  3. Ca3+b3+c3−3abca^3+b^3+c^3-3 a b c
  4. D00

Correct answer

C. a3+b3+c3−3abca^3+b^3+c^3-3 a b c

Step-by-step solution

The correct answer is option C
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