prove the product

Home Forums Math Olympiad, I.S.I., C.M.I. Entrance prove the product

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  • #21412
    swastik pramanik
    Participant

    If a line through the centroid \(G\) of \(\Delta ABC\) meets \(AB\) in \(M\) and \(AC\) in \(N\), then prove that \(AN\cdot MB+AM\cdot NC=AM\cdot AN\) both in magnitude and sign.

    #44874
    Aimstorm Solutions
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    iphone application development

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    #52497
    Shahrukh Ahmed
    Moderator

    There seems to be a problem in the given problem ;). see the Video file below i attached.

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