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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
    The coordinates of the point dividing internally the lines joining the points (4, -2) and (8, 6) in the ratio 7 : 5 will be [AMU 1979; MP PET 1984]

    A) \[(16,\,18)\]

    B) \[(18,\,16)\]

    C) \[\left( \frac{19}{3},\,\frac{8}{3} \right)\]

    D) \[\left( \frac{8}{3},\frac{19}{3} \right)\]

    Correct Answer: C

    Solution :

    \[x=\frac{4\times 5+8\times 7}{12}=\frac{19}{3}\] and\[y=\frac{-2\times 5+6\times 7}{12}=\frac{8}{3}\].


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