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