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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
In the angles A,BA,B and CC of a triangular are in the arithmetic progression and if a,ba,b and cc denotes the lengths of the sides opposite to A,BA,B and CC respectively, then the value of the expression acsin⁡  2C+casin⁡  2A\frac{a}{c}\sin \;2C + \frac{c}{a}\sin \;2A is
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Correct option: D
3\sqrt 3
Option D (3\sqrt{3}) is correct because the expression simplifies to 2sinB, and since B = 60 degrees, the value is 3\sqrt{3}.

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