If w = z − 2 z − 1 , ∣ z ∣ = 1 , and z , w ∈ C , which statements are correct?

Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberMiscellaneous/MixedMedium2 minQB

MathematicsMediummultiple choice

If $w = \frac{z - 1}{z - 2}, ∣ z ∣ = 1$ , and $z, w \in C$ , which statements are correct?

Answer:

A, B

Solution:

Inverting and using |z|=1 gives (x-1/3)^2+y^2=1/9. Distance from 3 ranges from 7/3 to 3, so A and B.

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

⏱ 2mℹ️ Source: QB

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