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9th Class Mathematics Coordinate Geometry Question Bank Coordinate Geometry

  • question_answer
    In the given figure, PQRS is a rhombus whose diagonal PR and QS are along coordinate axis and PR = 12 units and QS = 6 units. Now, if T is a point which is 5 spaces right and 2 spaces above S. Find:
    (i) sum of abscissae of P and T.
    (ii) sum of ordinates of Q, R and T.

    A)
    (i) (ii)
    -1 2
                   

    B)
    (i) (ii)
    1 -2
                   

    C)
    (i) (ii)
    1 2
                   

    D)
    (i) (ii)
    -1 -2

    Correct Answer: A

    Solution :

    From the given information, Coordinates of point T are (5, 5). (i) Abscissa of\[P=-6.\] Abscissa of \[T=5\] \[\therefore \]Required sum \[=-6+5=-1.\] (ii) Ordinate of\[Q=-3\] Ordinate of R = 0 Ordinate of \[T=5\] \[\therefore \] Required sum\[=-3+0+5=2\]                


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