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  5. Coordinate Geometry

9th Class Mathematics Coordinate Geometry Question Bank Co-ordinate Geometry

  • question_answer
    In the given figure the area of square ABCD is,

    A)  12 sq. units                  

    B)  8 sq. units        

    C)  6 sq. units                    

    D)  4 sq. units

    Correct Answer: D

    Solution :

    (d): Let the given vertices be A (3, 4) and C (5, 6). Length of \[AC=\sqrt{{{(3-5)}^{2}}+{{(4-6)}^{2}}}=\sqrt{8}\]units Area of the square = \[\frac{A{{C}^{2}}}{2}=\frac{{{\left( \sqrt{8} \right)}^{2}}}{2}~\]= 4sq.units


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