If z 2 = z 1 and z 4 = z 3 , find ar g ( z 4 z 1 ) + ar g ( z 3 z 2 ) .

Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

If $z_{2} = \overline{z_{1}}$ and $z_{4} = \overline{z_{3}}$ , find $ar g (\frac{z _{1}}{z _{4}}) + ar g (\frac{z _{2}}{z _{3}})$ .

Answer:

Solution:

Combine the arguments: arg(z1 z2/(z3 z4))=arg(|z1|^2/|z3|^2)=0.

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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