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NDA2021MathematicsDeterminantsActual

If is the value of the determinant | array lll a₁ & b₁ & c₁ a₂ & b₂ & c₂ a₃ & b₃ & c₃ array | then what is the value of the following determinant? | array lll p a₁ & b₁ & q c₁ a₂ & b₂ & q c₂ a₃ & b₃ & q c₃ array |(p 0 or 1, q 0 or 1 )

Options

  1. Ap
  2. Bq
  3. C(p+q)
  4. Dp q

Correct answer

D. p q

Step-by-step solution

Here, = | array lll a₁ & b₁ & c₁ a₂ & b₂ & c₂ a₃ & b₃ & c₃ array |

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