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10th Class Mathematics Coordinate Geometry Question Bank Co-ordinate Geometry

  • question_answer
    Find the distance between the points \[\left( \sqrt{3}+1,\sqrt{2}-1 \right)\] and \[\left( \sqrt{3}-1,\sqrt{2}+1 \right)\].

    A)  \[\sqrt{3}\]                               

    B)  \[2\sqrt{3}\]

    C)  \[\sqrt{2}\]                               

    D)  \[2\sqrt{2}\]

    Correct Answer: D

    Solution :

    (d): Distance \[=\sqrt{{{\left( \sqrt{3}+1-\sqrt{3}+1 \right)}^{2}}+{{\left( \sqrt{2}-1-\sqrt{2}-1 \right)}^{2}}}\] \[=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\] unit


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