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

  • question_answer
    If the coordinates of opposite vertices of a square are (1, 3) and (6, 0), the length of a side a square is

    A)  \[\sqrt{34}\]                     

    B)         \[\sqrt{17}\]  

    C)  17                         

    D)         12

    Correct Answer: B

    Solution :

     Let the length of one side of the square = a \[\therefore \] Length of the diagonal of square \[=a\sqrt{2}\]                 \[=\sqrt{{{(1-6)}^{2}}+{{(3-0)}^{2}}}\]                 \[=\sqrt{34}=\sqrt{2}.\sqrt{17}\] \[\therefore \]  \[a=\sqrt{17}\]


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