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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Analyzing +4 | -1
In △ABC,sin⁡Asin⁡B+sin⁡Bsin⁡C+sin⁡Csin⁡A=94\triangle A B C, \sin A \sin B+\sin B \sin C+\sin C \sin A=\frac{9}{4} and a=2a=2, then the value of 3Δ\sqrt{3} \Delta, where Δ\Delta is area of triangle, is
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Correct option: A
3
Option A (3) is correct because the given condition implies that the triangle is equilateral with side 2, and its area multiplied by 3\sqrt{3} is 3.

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