Co Ordinate Geometry - Quantitative Aptitude Problems and Solutions

    Distance between two points :
                        If (x1, y1) and B(x2, y2) be two points, then
    AB = √(x2 - x1)2 + (y2 - y1)2


  1. 12.   Find the distance between the points A(-4, 7) and B(2, -5).

    A.) 8√5 Units B.) 6√5 Units
    C.) 6√4 Units D.) None of these
    Answer: Option 'B'

    AB = √(2+4)2 + (-5-7)2

    = √62 + (-12)2

    = √36+144 = √180

    =√36*5 = 6√5 units.



  2. 13.    The distance between the points A(b, 0) and B(0, a) is.

    A.) √a2-b2 B.) √a2+b2
    C.) √a+b D.) a-b
    Answer: Option 'B'

    AB = √(b-0)2-(0-a)2

    = √b2+a2

    = √a2+b2.



  3. 14.  If the distance of the point P(x, y) from A(a, 0) is a + x, then y2 = ?

    A.) 8ax B.) 6ax
    C.) 4ax D.) 2ax
    Answer: Option 'C'

    √(x-a)2+(y-0)2 = a + x

    = (x-a)2+y2

    = (a+x)2 => y2 = (x-a)2-(x-a)2-4ax => y2 = 4ax



  4. 15.   The distance between the points A(5, -7) and B(2, 3) is:



    A.) 109 B.) 5√7
    C.) √109 D.) None of these
    Answer: Option 'C'

    AB2 = (2 - 5)2 + (3 + 7)2

    => (-3)2 + (10)2

    => 9 + 100 => √109




Quantitative Aptitude Topics


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