JEE Main & Advanced Mathematics Straight Line Question Bank Critical Thinking

  • question_answer
    The diagonals of a parallelogram \[PQRS\]are along the lines \[x+3y=4\]and \[6x-2y=7\]. Then \[PQRS\] must be a    [IIT 1998]

    A)            Rectangle                                  

    B)            Square

    C)            Cyclic quadrilateral                   

    D)            Rhombus

    Correct Answer: D

    Solution :

               \[{{m}_{1}}=-1/3\]and\[{{m}_{2}}=3\]. Hence lines \[x+3y=4\]and \[6x-2y=7\]are perpendicular to each other. Therefore the paralellogram is rhombus.

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