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JEE Main 2005
Exam
JEE Main
Year
2005
Subject
Mathematics
Chapter
Determinants

JEE Main 2005 · Mathematics · Determinants

If a_1, a_2, a_3, , a_n, are in G.P., then the determinant Δ=|...

If a1,a2,a3,…,an,…a_1, a_2, a_3, \ldots, a_n, \ldots are in G.P., then the determinant \Delta=\left|log⁡anlog⁡an+1log⁡an+2log⁡an+3log⁡an+4log⁡an+5log⁡an+6log⁡an+7log⁡an+8\begin{array}{lll}\log a_n & \log a_{n+1} & \log a_{n+2} \\ \log a_{n+3} & \log a_{n+4} & \log a_{n+5} \\ \log a_{n+6} & \log a_{n+7} & \log a_{n+8}\end{array}\right| is equal to

Options

  1. A1
  2. B0
  3. C4
  4. D2

Correct answer

B. 0

Step-by-step solution

C1−C2,C2−C3\mathrm{C}_1-\mathrm{C}_2, \mathrm{C}_2-\mathrm{C}_3 two rows becomes identical Answer: 0.
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