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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-26

  • question_answer
    If ABCD is a quadrilateral whose diagonals AC and BD intersect at O, then

    A)  \[\left( AB+BC+CD+DA \right)<\left( AC+BD \right)\]

    B)  \[\left( AB+BC+CD+DA \right)>2\left( AC+BD \right)\]

    C)  \[\left( AB+BC+CD+DA \right)>\left( AC+BD \right)\]

    D)  \[AB+BC+CD+DA=2\,\left( AC+BD \right)\]

    Correct Answer: C

    Solution :

    In \[\Delta \,\,ABC,\,\,\Delta \,\,ACD,\,\,\Delta \,\,BCD\]and \[\Delta \,\,ABD\] AB + BC > AC CD + DA > AC BC + CD >BD DA + AB > BD Adding above inequalities 2 (AB + BC + CD +DA) > 2 (AC+ BD) \[\Rightarrow \](AB + BC +CD DA) > (AC + BD)


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