Problem

Problem

In ΔABC\Delta ABC , tan⁡B+tan⁡C=5\tan B + \tan C = 5 and tan⁡Atan⁡C=3\tan A \tan C = 3 , then a. ΔABC\Delta ABC is an acute angled triangle b. ΔABC\Delta ABC is an obtuse angled triangle c. sum of all possible values of tan⁡A\tan A is 10 d. sum of all possible values of tan⁡A\tan A is 9

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