Let T(z) = \(\rm \frac{az+b}{cz+d}\), ad - bc ≠ 0, be the Möbius transformation which maps the points z1 = 0, z2 = -i, z3 = ∞ in the z-plane onto the points w1 = 10, w2 = 5 - 5i, w3 = 5 + 5i in the w-plane, respectively. Then the image of the set S = {z ∈ ℂ : Re(z) < 0} under the map w = T(z) is
1
{w ∈ ℂ : |w| < 5}
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{w ∈ ℂ : |w| > 5}
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{w ∈ ℂ : |w - 5| < 5}
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{w ∈ ℂ : |w - 5| > 5}