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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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If A,BA, B and CC are angles of anyone of the triangle such that tan⁡A+tan⁡B+tan⁡C=100\tan A+\tan B+\tan C=100. Then,
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Correct option: A
There exist exactly three non-similar isosceles triangles
Option A (There exist exactly three non-similar isosceles triangles) is correct because the equation x3−50x2+50=0x^3-50 x^2+50=0 has three distinct real roots, implying three different values for angle A.

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