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10th Class Mathematics Coordinate Geometry Question Bank MCQs - Coordinate Geometry

  • question_answer
    The ratio in which the point \[(2,y)\] divides the join of \[(-4,3)\]and \[(6,3)\]hence the value of y is:

    A) \[2:3,\,y=3\]

    B) \[3:2,\,y=4\]

    C) \[3:2,\,y=3\]

    D) \[3:2,\,y=2\]

    Correct Answer: C

    Solution :

    [c] Let the required ratio be \[k:1\]
    Then,\[2=\frac{6k-4(1)}{k+1}\]or \[k=\frac{3}{2}\]
    The required ratio is \[\frac{3}{2}:1\] or \[3:2\]
    Also,\[y=\frac{3(3)+2(3)}{3+2}=3\]


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