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KVPY Sample Paper KVPY Stream-SX Model Paper-16

  • question_answer
    If in a \[\Delta \,ABC,\] \[tan\text{ }A+tan\text{ }B+ten\text{ }C>0,\] then the triangle is -

    A) Acute - angled

    B) Obtuse - angled

    C) right - angled

    D) Nothing can be said

    Correct Answer: A

    Solution :

    tanA + tanB +tanC = tanA tanB tanC > 0 \[\Rightarrow \]either all of \[tanA,\]\[tanB\] & \[\text{t}anC\] are \[+ve\] or two are \[ve.\] But in any triangle two angles are never obtuse \[\therefore \,\,\,tanA,tanB,tanC>0\]


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