Let ∣ z 1 ∣ < 1 , ∣ z 2 ∣ = 1 , ∣ z 3 ∣ ≤ 1 , and

Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberMiscellaneous/MixedMedium2 minQB

MathematicsMediummultiple choice

Let $∣ z_{1} ∣ < 1, ∣ z_{2} ∣ = 1, ∣ z_{3} ∣ \leq 1$ , and

Answer:

B, C

Solution:

The modulus condition gives (|z1|^2-1)(|z4|^2-1)>=0. Since |z1|<1, |z4|<=1. Thus 2/5 and 1/3 are possible.

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

⏱ 2mℹ️ Source: QB

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