Q. 44.3( 7 Votes )

If z1 and z2 are two complex number such that |z1| = |z2| and arg (z1) + arg (z2) = π, then show that

Answer :


|z1|=|z2| and arg(z1)+arg(z2)=

Let us assume arg(z1)=θ


We know that z=|z|(cosθ+isinθ)





Now we find the conjugate of z2

=-|z2|(cosθ+isinθ) ( )


( |z1|=|z2|)


Thus proved.

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