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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
The sides of a triangle are sin⁡αcos⁡α\sin \alpha \cos \alpha and 1+sin⁡αcos⁡α\sqrt {1 + \sin \alpha \cos \alpha } for some 0<α<π20 < \alpha < \frac{\pi }{2}. Then, the greatest angle of the triangle is
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Correct option: C
120∘120^\circ
Option C (120°) is correct because, with the given side lengths, the cosine of the greatest angle simplifies to -1/2, implying the angle is 120°.

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