Co-ordinate Geometry

The points (-1, –2), (1, 0), (-1, 2), (-3, 0) form a quadrilateral of type:

• Square

• Rectangle

• Parallelogram

• Rhombus

If the distance between the points A(2, -2) and B(-1, x) is equal to 5, then the value of x is:

• 2

• -2

• 1

• -1

The midpoint of a line segment joining two points A(2, 4) and B(-2, -4) is

• (-2, 4)

• (2, -4)

  
  

• (0, 0)

• (-2, -4)

The distance of point A(2, 4) from the x-axis is

• 2 units

• 
  4 units

• -2 units

• -4 units

The distance between the points P(0, 2) and Q(6, 0) is

• 4√10

• 2√10

• √10

• 20

If O(p/3, 4) is the midpoint of the line segment joining the points P(-6, 5) and Q(-2, 3), the  the value of p is:

• 7/2

• -12

• 4

• -4

The point which divides the line segment of points P(-1, 7) and (4, -3) in the ratio of 2:3 is:

• (-1, 3)

• (-1, -3)

• (1, -3)

• (1, 3)

The ratio in which the line segment joining the points P(-3, 10) and Q(6, –8) is divided by O(-1, 6) is:

• 1:3

• 3:4

• 2:7

• 2:5

The coordinates of a point P, where PQ is the diameter of a circle whose centre is (2, – 3) and Q is (1, 4) is:

• (3, -10)

• (2, -10)

• (-3, 10)

• (-2, 10)

The area of a rhombus whose vertices are (3, 0), (4, 5), (-1, 4) and (-2,-1) taken in order, is:

• 12 sq.units

• 24 sq.units

• 30 sq.units

• 32 sq.units