If (a/x)>0 , (b/x) >0 , (ab/x^2)<1 and tan^-1(a/x)+tan^-1(b/x)=pi/2 , then x equals

Answers (1)

Solution:    

               	an^-1[fracfracax+fracbx1-fracabx^2]=fracpi2

     Rightarrow         1-fracabx^2=0

    Rightarrow         x=sqrtab.

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