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JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Relation between sides and angles, Solutions of triangles

  • question_answer
    If in a \[\Delta ABC\], the altitudes from the vertices A, B, C on opposite sides are in H.P. then \[\sin A,\,\sin B,\sin C\] are in    [AIEEE 2005]

    A) A.G.P.

    B) H.P.

    C) G.P.

    D) A.P.

    Correct Answer: D

    Solution :

    \[\frac{2\Delta }{a},\frac{2\Delta }{b},\frac{2\Delta }{c}\] are in H.P. Þ \[\frac{1}{a},\frac{1}{b},\frac{1}{c}\] are in H.P. Þ \[a,b,c\] are in A.P. Þ \[\sin A,\sin B,\sin C\] are in A.P.


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