If z + i ∣ z ∣ = i z ˉ + 1 , find ∣ z ∣ .

Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

If $z + i ∣ z ∣ = i \overset{z}{ˉ} + 1$ , find $∣ z ∣$ .

Answer:

Solution:

Put z=x+iy. Equating real and imaginary parts gives x=y+1 and y+|z|=x. Hence |z|=x-y=1.

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

⏱ 2mℹ️ Source: QB

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