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IKMC 2027 - Grades 11-12 - Self-study SET 11 - Thematic Batch 3 Question 2

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 11 - Thematic Batch 3

Question 2

For integers x, y, z, what is the minimum of $\sqrt{x^{2}+1}$+$\sqrt{(x-y)^{2}+4}$+$\sqrt{(y-z)^{2}+1}$+$\sqrt{(z-10)^{2}+9}$?

Original printed choices: A) 7; B) 13; C) 4 + $\sqrt{109}$; D) $\sqrt{149}$; E) $\sqrt{125}$

Editorial task: Resolve the missing assumption or inconsistent choices. Derive the valid literal conclusion and distinguish it from the source’s intended answer.

Question illustration