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3 and 4 . determinant and metrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths3 and 4 . determinant and metrices1 Mark
MCQ
$\left| {\,\begin{array}{*{20}{c}}1&5&\pi \\{{{\log }_e}e}&5&{\sqrt 5 }\\{{{\log }_{10}}10}&5&e\end{array}\,} \right| = $
  • A
    $\sqrt \pi $
  • B
    $e$
  • C
    $1$
  • ✓
    $0$
✓

Answer

Correct option: D.
$0$
d
(d) $\Delta = \left| {\,\begin{array}{*{20}{c}}1&5&\pi \\1&5&{\sqrt 5 }\\1&5&e\end{array}\,} \right|\, = 0$     $(\because\,\,{\log _a}\,a = \,1{\rm{\, and }}\,5\,{C_1} \equiv {C_2})$

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