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

  • question_answer
    If the distance between the points \[(2,-2)\] and \[(-1,x)\] is 5, one of the values of x is:     (NCERT EXEMPLAR)

    A) \[-2\]

    B) \[2\]

    C) \[-1\]

    D) \[1\]

    Correct Answer: B

    Solution :

    [b]  \[\sqrt{{{(-1-2)}^{2}}+{{(x+2)}^{2}}}=5\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,9+{{x}^{2}}+4+4x=25\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,{{x}^{2}}+4x-12=0\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,{{x}^{2}}+6x-2x-12=0\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,(x+6)\,\,(x-2)=0\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,x=-6,2\]


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