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

  • question_answer
    The mid-points of sides of a triangle are (2, 1), (-1, -3) and (4,5). Then the coordinates of its vertices are

    A) \[(7,\,9),\,(-3,\,-7),\,(1,\,1)\]

    B) \[(-3,\,-7),\,(1,\,1),\,(2,\,3)\]

    C) \[(1,\,1),\,(2,\,3),\,(-5,\,8),\]

    D) None of these

    Correct Answer: A

    Solution :

    \[\frac{{{x}_{1}}+{{x}_{2}}}{2}=2,\,\,\frac{{{x}_{2}}+{{x}_{3}}}{2}=-1,\,\,\frac{{{x}_{3}}+{{x}_{1}}}{2}=4\] \[{{x}_{1}}=7,\,\,{{x}_{2}}=-3,\,\,{{x}_{3}}=1\] Similarly \[{{y}_{1}},\,\,{{y}_{2}},\,\,{{y}_{3}}\] can be found.


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