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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
In triangle ABCA B C if [ΔABC]R=4\frac{[\Delta A B C]}{R}=4, then the value of acos⁡A+bcos⁡B+ccos⁡Ca \cos A+b \cos B+c \cos C, is:
[RR is the circumradius of triangle ABCA B C and [ΔABC][\Delta A B C] is the area of ΔABC]\Delta A B C]
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Correct option: C
8
Option C is correct because using trigonometric identities and the area formula, the expression simplifies to 8.

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