If $x, y$ and $z$ be greater than 1 , then the value of $\left|\begin{array}{ccc}1 & \log _{x} y & \log _{x} z \\ \log _{y} x & 1 & \log _{y} z \\ \log _{z} x & \log _{z} y & 1\end{array}\right|$ is

Question

If $x, y$ and $z$ be greater than 1 , then the value of $\left|\begin{array}{ccc}1 & \log _{x} x & \log _{x} z \\ \log _{z} x & \log _{z} y & 1\end{array}\right|$ is
(A) $\log x \cdot \log y \cdot \log z$
(B) $\log x+\log y+\log z$
(C) 0
(D) $1-\{(\log x) \cdot(\log y) \cdot(\log z)\}$

Answer 1

Ans: (C)
 $\left|\begin{array}{lll}\frac{\log x}{\log x} & \frac{\log y}{\log x} & \frac{\log z}{\log x} \\ \frac{\log y}{\log y} & \frac{\log z}{\log y} \\ \mid \frac{\log x}{\log z} & \frac{\log y}{\log z} & \frac{\log z}{\log z}\end{array}\right|$
Taking $\frac{1}{\log x}, \frac{1}{\log y}, \frac{1}{\log z}$ common from $R_{1}, R_{2}, R_{3}$ all rows are identical. So $\Delta=0$

Answer 2

tadalafil 5mg ca <a href="https://ordergnonline.com/">cialis mail order us</a> best ed pills at gnc