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-1-2i|.
Options:
Answer:
B
Solution:
Factoring and simplifying gives the relevant locus as the imaginary axis together with exceptional points. Distance from 1+2i to that axis is 1.
Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Miscellaneous/Mixed
⏱ 2mℹ️ Source: QB
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