Let satisfy and

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

Let x,y,z∈Cx, y, z \in \mathbb{C} satisfy ∣x∣=1,∣y−6−8i∣=3|x| = 1, |y - 6 - 8i| = 3 and ∣z+1−7i∣=5|z + 1 - 7i| = 5 , respectively, then the minimum value of ∣x−z∣+∣y−z∣|x - z| + |y - z| is equal to: (A) 1 (B) 2 (C) 5 (D) 6

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