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JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank Questions related to geometrical conditions

  • question_answer
    The points \[(a,b),\ (c,d)\]and \[\left( \frac{kc+la}{k+l},\,\frac{kd+lb}{k+l} \right)\] are

    A) Vertices of an equilateral triangle

    B) Vertices of an isosceles triangle

    C) Vertices of a right angled triangle

    D) Collinear

    Correct Answer: D

    Solution :

    The given points are collinear because the point \[\left( \frac{kc+la}{k+l},\,\,\frac{kd+lb}{k+l} \right)\] divides the points (a, b) and (c, d) in the ratio of k : l.


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