JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank System of co-ordinates, Distance between two points, Section formulae

  • question_answer
    P and Q are points on the line joining A (­-2, 5) and B (3, 1) such that AP = PQ = QB. Then the mid-point of PQ is  

    A) \[\left( \frac{1}{2},\,3 \right)\]

    B) \[\left( -\frac{1}{2},\,4 \right)\]

    C) \[(2,\,3)\]

    D) \[(1,\,4)\]

    Correct Answer: A

    Solution :

    Mid-point of PQ is the same as that of AB in view of the given conditions i.e., \[\left( \frac{1}{2},\,\,3 \right)\].


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