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

  • question_answer
    In the given figure, if 0, P, Q, and R are the vertices of a square and the co-ordinates of P are (k, p), the values of k and p are

    A)  k = - 4 and p = 0 

    B)         k = 0 and p = - 4  

    C)  k = -2 and p = 0 

    D)         k = 0 and p = -2

    Correct Answer: B

    Solution :

     Here, we are given that co-ordinates  of vertice R is \[(4,0)\] and O is origin. So its co- :' u Snates are \[(0,0)\]. By distance rule,                 \[OR=\sqrt{{{(0-0)}^{2}}+{{(4-0)}^{2}}}=4.\] So, one side of square OPQR is \[OR=4\] \[\therefore \]                  \[OP=4\] Now, P is on y - axis and below x - axis, So, its x-co-ordinate is 0 and its y-co-ordinate is negative. Co-ordinate of P are \[(k,p)=(0,-4)\] i.e.             \[k=0\]and \[p=-4\]


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