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

  • question_answer
    The distance of the origin from the point of intersection of \[x+y=11\] and \[x-y-3=\] is

    A)  7                                            

    B)  14

    C)  \[\sqrt{65}\]                       

    D)         \[\sqrt{33}\]

    Correct Answer: C

    Solution :

    Let the co-ordinates of the point of intersection be \[({{x}_{1}},{{y}_{1}})\] \[\therefore \]  \[{{x}_{1}}+{{y}_{1}}=11\] and        \[{{x}_{1}}-{{y}_{1}}=3\] \[\Rightarrow \]               \[{{x}_{1}}=7\] and        \[{{y}_{1}}=4\] \[\therefore \] Required distance of the origin \[(0,0)\] from the point of intersection                 \[=\sqrt{{{(7-0)}^{2}}+{{(4-0)}^{2}}}\]                 \[=\sqrt{49+16}=\sqrt{65}\]


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