Co Ordinate Geometry - Quantitative Aptitude Problems and Solutions

    Distance of a point from the origin:
               The distance of a point A(x, y) from the origin O(0, 0) is given by 
    OA = √x2 + y2


  1. 7.   Find the distance of the point A(4, -4) from the origin.

    A.) 3√2 B.) 2√8
    C.) 6√2 D.) 8√2
    Answer: Option 'D'

    OA = √42+(-4)2 = √16+16 = √32 = 8√2



  2. 8.   Find the distance of the point A(3, -3) from the origin.

    A.) 3√2 B.) 3√6
    C.) 6√2 D.) 7√2
    Answer: Option 'A'

    OA = √32+(-3)2 = √9+9 = √18 = 3√2



  3. 9.  P is a point on x-axis at a distance of 4 units from y-axis to its right. The co-ordinates of P are:

    A.) (4, 0) B.) (0, 4)
    C.) (4, 4) D.) (-4, 4)
    Answer: Option 'A'

    The co-ordinates of P are A(4, 0)



  4. 10.   A is a point on y-axis at a distance of 5 units from x-axis lying below x-axis. The co-ordinates of A are:

    number is:



    A.) (5, 0) B.) (-5, 0)
    C.) (0, 5) D.) (0, -5)
    Answer: Option 'D'

    The co-ordinates of A are A(0, -5)



  5. 11.   Find the distance of the point A(4, -2) from the origin.

    A.) 4√5 units B.) 2√5 units
    C.) 5√2 units D.) 7√2 units
    Answer: Option 'A'

    OA = √4 - 02+(-2 - 0)2 = √16+4 = √20 = radic;4*5 = 2√5 units





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