JEE Main 2025 · 29 January · evening · Numerical answer · +4 / −1

Let integers a, b ∈[-3,3] be such that a+b ≠ 0. Then the number of all possible ordered pairs (a, b), for which |(z-a)/(z+b)|=1 and |z+1, ω, ω²; ω, z+ω², 1; ω², 1, z+ω|=1, z ∈ C, where ω and ω² are the roots of x²+x+1=0, is equal to _____________ .

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