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MCQMediumJEE Main 2023 · 1 February, Shift 1Properties of Triangles

Mathematics Question from JEE Main 2023 · 1 February, Shift 1

For a triangle ABCABC, the value of cos⁡2A+cos⁡2B+cos⁡2C\cos 2A + \cos 2B + \cos 2C is least. If its inradius is 33 and incentre is MM, then which of the following is NOT correct?

  • A

    Perimeter of △ABC is 183\text{Perimeter of } \triangle ABC \text{ is } 18\sqrt{3}

  • B

    sin⁡2A+sin⁡2B+sin⁡2C=sin⁡A+sin⁡B+sin⁡C\sin 2A + \sin 2B + \sin 2C = \sin A + \sin B + \sin C

  • C

    MA‾⋅MB‾=−18\overline{MA} \cdot \overline{MB} = -18

  • D

    Area of △ABC is 2732\text{Area of } \triangle ABC \text{ is } \frac{27\sqrt{3}}{2}

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