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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Analyzing +4 | -1
For a triangle ABCA B C, the value of cos⁡2A+cos⁡2B+\cos 2 A+\cos 2 B+ cos⁡2C\cos 2 C is least. If its inradius is 3 and incentre is MM, then which of the following is NOT correct?
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Correct option: C
Area of ΔABC\Delta A B C is 2732\frac{27 \sqrt{3}}{2}
Option C (Area of ΔABC\Delta A B C is 2732\frac{{27 \sqrt{{3}}}}{{2}}) is correct because the area of an equilateral triangle with inradius 3 is 27327\sqrt{3}, not 2732\frac{{27 \sqrt{{3}}}}{{2}}.

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