Let P = z ∈ C: |z + 2 − 3i| ≤ 1 and Q = z ∈ C: z(1 + i) + z(1 − i) ≤ −8 . Let in P ∩ Q, |z − 3 + 2i| be...

Question

Let P = z ∈ C: |z + 2 − 3i| ≤ 1 and Q = z ∈ C: z(1 + i) + z(1 − i) ≤ −8 . Let in P ∩ Q, |z − 3 + 2i| be maximum and minimum at z_1 and z_2 respectively. If |z_1|^2 + 2|z_2|^2 = + 2, where α, β are integers, then α + β equals ________.

Accepted Answer

36

JEE Main 2024 Mathematics question

Solution

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