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

  • question_answer
    The distance between the points \[A(0,6)\] and \[B(0,-2)\] is:                                     (NCERT EXEMPIAR)

    A) 6

    B) 8

    C) 4

    D) 2

    Correct Answer: B

    Solution :

    [b] Distance between the points \[({{x}_{1}},{{y}_{1}})\] and \[({{x}_{2}},{{y}_{2}})\]\[d=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}}\]
    Here, \[{{x}_{1}}=0,\,\,\,{{y}_{1}}=6\] and \[{{x}_{2}}=0,\,\,\,{{y}_{2}}=-2\]
    \[\therefore \] Distance between \[A(0,6)\]and \[B(0,-2)\]
    \[AB=\sqrt{{{(0-0)}^{2}}+{{(-2-6)}^{2}}}=\sqrt{0+{{(-8)}^{2}}}=\sqrt{{{8}^{2}}}=8\]


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