If x,y,z are in GP,then using properties of determinants,show that Δ= – InterviewSolution

1.	If x,y,z are in GP,then using properties of determinants,show that Δ=∣∣∣∣px+yxypy+zyz0px+ypy+z∣∣∣∣=0,where x≠y≠z and p is any real number.
Answer» If x,y,z are in GP,then using properties of determinants,show that $Δ = ∣ ∣∣ ∣ \begin{matrix} p x + y & x & y p y + z & y & z 0 & p x + y & p y + z \end{matrix} ∣ ∣∣ ∣$ =0,where $x \neq y \neq z$ and p is any real number.

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