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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
In triangle ABC\mathrm{ABC} given 9a2+9b2−17c2=09 a^2+9 b^2-17 c^2=0.If cot⁡A+cot⁡Bcot⁡C=mn\frac{\cot \mathrm{A}+\cot \mathrm{B}}{\cot \mathrm{C}}=\frac{m}{n}, then the value of (m+n)(m+n) equals
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Correct option: A
13
Option A (13) is correct because by using the Law of Cosines and trigonometric identities, the given equation simplifies to (cot A + cot B) / cot C = 9/4, and thus m+n = 13.

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