Complex Numbers Lecture 4.5 A Criterion for Equilateral Triangles | JEE

[@tanmaymishra9576]

a2+b2+c2>+ ab+bc+ca equality holds at a=b=c can we do this just by relating it with algebra

[@the_hidden_library]

One cannot talk about inequalities with complex numbers.

[@tanmaymishra9576]

@@the_hidden_library cant we consider comparing complex number in argand plane , then there dosen't exist any imaginary or hypothetical numbers... is that just a convection made

[@the_hidden_library]

@@tanmaymishra9576 I am unable to follow your comment. The Argand plane is nothing but the collection of all the complex numbers. Can you say precisely what you mean by 'comparing complex numbers in the Argand plane'? Also, I don't follow what you mean by 'then there do not exist any imaginary or hypothetical numbers.'

[@tanmaymishra9576]

@@the_hidden_library when we do x+y

[@the_hidden_library]

@@tanmaymishra9576 Suppose you write "z