If ∣ z + 4∣ ≤ 3 , then the maximum value of ∣ z + 1∣ is

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MathematicsComplex NumberGeometric ApplicationMedium2 minPYQ_2007

MathematicsMediumsingle choice

If $∣ z + 4∣ \leq 3$ , then the maximum value of $∣ z + 1∣$ is

Answer:

Solution:

From the Argand diagram maximum value of $∣ z + 1∣$ is $6$ . Alternative: $∣ z + 1∣ = ∣ z + 4 - 3∣ \leq ∣ z + 4∣ + ∣ - 3∣ = 6.$

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Geometric Application

⏱ 2mℹ️ Source: PYQ_2007

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