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

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

Question 11

What is the minimum of $\sqrt{1+x^{2}}$+$\sqrt{1+(3-x)^{2}}$?

Original printed choices: A) 1 + $\sqrt{10}$; B) 2$\sqrt{1 + 9/4}$; C) $\sqrt{13}$; D) $\sqrt{2}$ + $\sqrt{5}$; E) 5

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