Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberGeometric ApplicationMedium2 minQB

MathematicsMediuminteger

Find the least +ve integral value of ' a ' such that there is at least one complex number satisfying $∣ z + 2 ∣ < a^{2} - 3 a + 2$ and $∣ z + i 2 ∣ < a^{2}$

Answer:

Solution:

(a=3) Atleast one complex number z satisfy the required condition if the two circle intersect at two distinct points.

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Geometric Application

⏱ 2mℹ️ Source: QB

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