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Math Applications HL Paper 1 (May 2025, TZ2)

  1. [Maximum mark: 9]

The point A has coordinates (1, 2, 1) and the point B has coordinates (3, 5, 2).

(a) Find AB. [2]

Triangle ABC is right‑angled with its right angle at B. The point C has coordinates (2, 8, k).

(b) Find the value of k. [4]

(c) Calculate the size of BÂC. [3]