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10th Class Mathematics Coordinate Geometry Question Bank Coordinate Geometry

  • question_answer
    In what ratio is the line segment joining the points (-3, 2) and (6, 1) is divided by Y-axis?                                

    A)  \[1:3\]                         

    B)  \[2:1\]

    C)         \[1:2\]             

    D)         \[3:1\] 

    Correct Answer: C

    Solution :

    We know, co-ordinates on Y-axis is\[(0,\,y)\]. Now, let \[P(0,\,y)\] divides the line segment joining the points \[A(-3,2)\]and \[B(6,1)\] in \[\lambda :1\] Day Then,   \[0=\frac{6\lambda +1\times (-3)}{\lambda +1}\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,=\frac{1}{2}\] \[\therefore \]   Required ratio \[=1:2\]


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