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Matrices and Determinants question

2004 · Shift 0 · Q81
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  5. /2004 · Shift 0 · Q81

Matrices and Determinants question

2004 · Shift 0 · Q81

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If a1,a2,a3,.........,an,......{a_1},{a_2},{a_3},.........,{a_n},......a1​,a2​,a3​,.........,an​,...... are in G.P., then the value of the determinant ∣log⁡anlog⁡an+1log⁡an+2log⁡an+3log⁡an+4log⁡an+5log⁡an+6log⁡an+7log⁡an+8∣,\left| {\begin{matrix} {\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{matrix} } \right|,​logan​logan+3​logan+6​​logan+1​logan+4​logan+7​​logan+2​logan+5​logan+8​​​, is
  1. A
    −2-2−2
  2. B
    111
  3. C
    222
  4. D
    000
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