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

  • question_answer
    If the middle point of the line segment joining the points (5, a) and (b,7) be (3,5), then (a, b) =

    A) (3, 1)

    B) (1, 3)

    C) (-2,-2)

    D) (-3, -1)

    Correct Answer: A

    Solution :

     \[\frac{5+b}{2}=3,\,\,\,\frac{a+7}{2}=5\,\,\Rightarrow \,\,b=1,\,\,a=3\].


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