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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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A triangle be such that cos⁡2A+cos⁡2B+cos⁡2C\cos 2 A+\cos 2 B+\cos 2 C is minimum. If in radius of the triangle is 3, then which of the following is CORRECT?
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Correct option: B
Perimeter of Δ\Delta is 18318 \sqrt{3} Units
Option B (Perimeter of Δ\Delta is 18318 \sqrt{3} Units) is correct because when cos⁡2A+cos⁡2B+cos⁡2C\cos 2 A+\cos 2 B+\cos 2 C is minimum, the triangle is equilateral, and the perimeter can be calculated using the inradius.

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