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Home SAT Math Analytical Geometry Basics
Basics
Exercise-I
1. Find the distance between (– 3 , 4) and (7 , – 8)
  a)   b)   c)   d)  
 
2. Find the distance between (0 , – 6) and the origin
  a)   b)   c)   d)  
 
3. X is the point on the y axis with 6 as ordinate and B(– 3 , 2) is the other point. Find the length of XB
  a)  7 b)  6 c)  5 d)  4
 
4. If the distance between M(a , 2) is equidistant from A(8 , – 2) , B(2 , – 2) find the value of a
  a)  4 b)  5 c)  6 d)  7
 
5. What point on the X axis is equidistance from A(5 , 4) and B(– 2 , 3)
  a)  (4 , 0) b)  (3 , 0) c)  (1 , 0) d)  (2 , 0)
 
6. (4 , 0) (0 , 0) (0 , 3) are vertices of an
  a)  acute angled triangle b)  obtuse angled triangle
  c)  right angled triangle d)  none of these
 
7. (0 , 0) (0 , 8) (8 , 0) represent the vertices of
  a)  isosceles triangle b)  right angled triangle
  c)  scalene triangle d)  a and b
 
8.
The quadrilateral PQRS is a
  a)  square b)  rectangle c)  Rhombus d)  None of these
 
9. The centre of a circle is (11 , 2). If p(5 , – 6) is a point on its circumference then the length of the radius is
  a)  16 units b)  11 units c)  10 units d)  12 units
 
10. Find the coordinates of the point P which divides the line segment joining A(8 , 9) and B(– 7 , 4) internally in the ratio 4 : 3
  a)   b)   c)   d)  
 
11. Find the coordinates of the points of trisection of the line segment joining M(4 , 5) and N(10 , 11)
  a)  (6 , 7) (8 , 7) b)  (6 , 7) (9 , 8) c)  (7 , 6) (8 , 9) d)  (6 , 7) (8 , 9)
 
12. Find the midpoint of the line segment joining the points A(– 5 , 2) and B(– 3 , 6)
  a)  (4 , – 4) b)  (– 4 , 4) c)  (4 , 4) d)  (– 4 , – 4)
 
13. If midpoint (2a , 6) and (5 , 3b) is (3 , – 4) then the value of a and b are
  a)   b)   c)   d)  
 
14. In what ratio x divides the line segment joining (5 , 7) and (6 , – 8)
  a)  8 : 7 b)  7 : 8 c)  6 : 8 d)  8 : 6
 
15. Find the centroid of the triangle whose vertices are (– 7 , 6) (– 2 , – 5) (4 , 8)
  a)   b)   c)   d)  
 
16. If A(7 , 4) , B(– 5 , – 5) and C(x , – 2) are the vertices of ΔABC whose centroid is the origin. calculate x , y
  a)  (2 , 7) b)  (2 , – 7) c)  (– 2 , 7) d)  (7 , – 2)