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

  • question_answer
    C is the mid-point of PQ, if P is \[(4,x),\] C is \[(y,-1)\] and Q is \[(-2,4),\] then x and y respectively are:

    A) \[-6\] and \[1\]

    B) \[-6\] and \[2\]

    C) \[6\]and \[-1\]

    D) \[6\] and \[-2\]

    Correct Answer: A

    Solution :

    [a] Since, \[C(y,-1)\]is the mid-point of \[P(4,x)\] and \[Q(-2,4)\]
    We have,\[\frac{4-2}{2}=y\]
    and\[\frac{4+x}{2}=-1\]
                            \[y=1\]
    and\[x=-6\]


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