# 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

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

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

√(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

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

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

=> 9 + 100 => √109

Quantitative Aptitude Topics

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