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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
    Point \[\left( \frac{1}{2},\,\frac{-13}{4} \right)\]divides the line joining the points \[(3,-5)\]and \[(-7,2)\] in the ratio of 

    A) 1 : 3 internally

    B) 3 : 1internally

    C) 1 : 3 externally

    D) 3 : 1externally

    Correct Answer: A

    Solution :

    Let the ratio be k : 1 Therefore, \[\frac{-7k+3}{k+1}=\frac{1}{2}\,\,\Rightarrow \,\,k=\frac{1}{3}\]. Hence ratio is 1 : 3 internally.


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