Questions
If ,are in GP and , then
detailed solution
Correct option is B
Given, x, y, z are in GP and ax=by=cz Since, x, y, z are in GP.⇒ y2=xz ......(i)we have ax=by=cz=k (say); k>0On taking log both sides, we getxloga=ylogb=zlogc=logk⇒ x=logkloga,y=logklogb,z=logklogcOn substituting the values of x,y and z in Eq. (i), we get logklogb2=logkloga⋅logklogc⇒ (logk)2(logb)2=(logk)2loga⋅logc⇒ (logb)2=loga⋅logc⇒ logalogb=logblogc∴ logba=logcb ∵logexlogey=logyxSimilar Questions
If the roots of the equation,
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