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

  • question_answer
    If the point dividing internally the line segment joining the points (a, b) and (5, 7) in the ratio 2 : 1 be (4, 6), then  

    A) \[a=1,\,b=2\]

    B) \[a=2,\,b=-4\]

    C) \[a=2,\,b=4\]

    D) \[a=-2,\,b=4\]

    Correct Answer: C

    Solution :

     \[\frac{2\times 5+1(a)}{2+1}=4\Rightarrow a=2\] and  \[\frac{2\times 7+1(b)}{2+1}=6\Rightarrow b=4\].


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