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" If "tan^(-1)(a/x)+tan^(-1)(b/x)=pi/2,"...

" If "tan^(-1)(a/x)+tan^(-1)(b/x)=pi/2," then "x=

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If tan^(-1)(a/x)+tan^(-1)(b/x)+tan^(-1)(c /x)+tan^(-1)(d/x)=(pi)/(2) then x^(4)-x^(2)(Sigma ab)+abcd=

If tan^(-1)(a/x)+tan^(-1)(b/x)+tan^(-1)(c /x)+tan^(-1)(d/x)=(pi)/(2) then x^(4)-x^(2)(Sigma ab)+abcd=

If tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(6), then prove that x^(2)=2sqrt(3).

tan^(-1)(x/2)+tan^(-1)(x/3)=(pi)/(4)

tan^(-1)(x-1)+tan^(-1)(x+1)=(pi)/(4)

Statement 1: If agt0,bgt0, tan^(-1)(a/x)+tan^(-1)(b/x)=(pi)/2 . implies x=sqrt(ab) Statement 2: If m,n epsilonN,ngem, then "tan"^(-1)(m/n)+tan^(-1)(n-m)/(n+m)=(pi)/4 .

Statement 1: If agt0,bgt0, tan^(-1)(a/x)+tan^(-1)(b/x)=(pi)/2 . implies x=sqrt(ab) Statement 2: If m,n epsilonN,ngem, then "tan"^(-1)(m/n)+tan^(-1)(n-m)/(n+m)=(pi)/4 .

If tan^(-1)""(a+x)/a+tan^(-1)""(a-x)/a=pi/6 , then x^(2)=