Math, asked by santoshkoli2373, 5 hours ago

For any three complex number z1,z2,z3, (a) z1 (z2 + z3)= ?

Answers

Answered by juanRicardo

1

Solution

Correct option is D

$Given z 1 ,z 2 and z 3 complex numbers$

$Then z 1 Im( zˉ 2 z 3 )+z 2 Im( zˉ 3 z 1 )+z 3 Im( zˉ 1 ,z 2 )We have, Im(z)= 2iz− zˉ $

$⇒z 1 Im( zˉ 2 z 3 )+z 2 Im( zˉ 3 z 1 )+z 3 Im(z 1 zˉ 2 )⇒ 2i1 (z 1 ( zˉ 2 z 3 −z 2 zˉ 3 )+z 2 ( zˉ 3 z 1 −z 3 zˉ 1 )+z 3 ( zˉ 1 z 2 −z 1 zˉ 2 ))⇒ 2i1 (z 1 zˉ 2 z 3 −z 2 zˉ 3 +z 2 zˉ 3 z 1 −z 3 zˉ 1 +z 3 zˉ 1 z 2 −z 1 zˉ 2 )$

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