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STD 12 - 3 and 4 . determinant and metrices — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 3 and 4 . determinant and metrices4 Marks
Question
$\left| {\,\begin{array}{*{20}{c}}1&5&\pi \\{{{\log }_e}e}&5&{\sqrt 5 }\\{{{\log }_{10}}10}&5&e\end{array}\,} \right| = $
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Answer

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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