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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Determinants

NDA 2021 · Mathematics · Determinants

If Δ is the value of the determinant | array lll a_1 & b_1 & c_1...

If \Delta is the value of the determinant \left|a1b1c1a2b2c2a3b3c3\begin{array}{lll}a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3\end{array}\right| then what is the value of the following determinant? \left|pa1b1qc1\pa2b2qc2\pa3b3qc3\begin{array}{lll}p a_1 & b_1 & q c_1 \p a_2 & b_2 & q c_2 \p a_3 & b_3 & q c_3\end{array}\right|(p \neq 0 or 1,q≠01, q \neq 0 or 1))

Options

  1. ApΔp \Delta
  2. BqΔq \Delta
  3. C(p+q)Δ(p+q) \Delta
  4. DpqΔp q \Delta

Correct answer

D. pqΔp q \Delta

Step-by-step solution

Here, \Delta=\left|a1b1c1a2b2c2a3b3c3\begin{array}{lll}a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3\end{array}\right|
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