Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let A ≡ ≡ ( − − 2, 0), B ≡ ≡ (4, 0), C ≡ ≡ (h, h). If perimeter of triangle ABC is minimum then
Text Solution
Verified by ExpertsThe correct answer is:
B
B,(0, 4) is the reflection of B in y = x, we have AB + AC + BC = AB + AC + CB 1 . Thus for perimeter to be minimum AC + CB, must be minimum. That means light rays emerging from A(-2, 0) after getting reflected from y = x at C, must pass through B 1 .
Which implies C ≡ ≡ (0, 0). But in this case Δ Δ ABC can't be formed. Thus no such point can be located.
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