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

  • question_answer
    The ratio in which x-axis divides the join of the points (2, -3) and (5, 6) is 

    A) 2 : 1

    B) 1: 2

    C) 2 : -1

    D) None of these

    Correct Answer: B

    Solution :

    Let ratio be k : 1 and coordinates of x-axis are \[(a,\,\,0).\] Therefore \[0=\frac{k\times 6+1\times (-\,3)}{k+1}\,\,\Rightarrow \,\,k=\frac{1}{2}\] Hence the ratio is 1 : 2. Aliter: Apply the formula given in the theory part, the required ratio is \[-\left( \frac{-3}{6} \right)\] or 1 : 2.


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