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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Determinants

NDA 2014 · Mathematics · Determinants

If | array lll a & b & 0 0 & a & b b & 0 & a array |=0 , then which...

If \left|ab00abb0a\begin{array}{lll}a & b & 0 \\ 0 & a & b \\ b & 0 & a\end{array}\right|=0$, then which one of the following is correct?

Options

  1. Aab\frac{a}{b} is one of the cube roots of unity
  2. Bab\frac{a}{b} is one of the cube roots of -1
  3. Caa is one of the cube roots of unity
  4. Dbb is one of the cube roots of unity

Correct answer

B. ab\frac{a}{b} is one of the cube roots of -1

Step-by-step solution

The correct answer is option (B)
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