Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberMiscellaneous/MixedMedium2 minQB
MathematicsMediumsingle choice
Passage / Comprehension

Let z be a complex number satisfying |z^4+z^3-z-1|=|z^4-z^3+z-

Find the minimum value of |z^2-1-2i|.

Options:

Answer:
D
Solution:

From the same locus, the nearest allowed value of z^2 to 1+2i is 1, giving |1-(1+2i)|=2.

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Miscellaneous/Mixed
2mℹ️ Source: QB

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