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Let $x, y, z$ be positive and $x, y, z \neq 1$ Let $Δ = |\begin{array}{ccc} 1 & \log_{x} y & \log_{x} z \\ \log_{y} x & 1 & \log_{y} z \\ \log_{z} x & \log_{z} y & 1 \end{array}|$ then numerical value of $∆$ is

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Correct option is B

Using change of base formulaloga⁡b=log⁡blog⁡a,a,b>0,a,b≠1we can writeΔ=1log⁡xlog⁡ylog⁡zlog⁡x log⁡y log⁡zlog⁡x log⁡y log⁡zlog⁡x log⁡y log⁡z=0

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Let x,y,z be positive and x,y,z≠1 Let Δ=1logx⁡ylogx⁡zlogy⁡x1logy⁡zlogz⁡xlogz⁡y1 then numerical value of ∆ is

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Let $x, y, z$ be positive and $x, y, z \neq 1$ Let $Δ = |\begin{array}{ccc} 1 & \log_{x} y & \log_{x} z \\ \log_{y} x & 1 & \log_{y} z \\ \log_{z} x & \log_{z} y & 1 \end{array}|$ then numerical value of $∆$ is