O level Coordinate Geometry Quiz 1

15 Questions

Quiz Description

With 15 questions which have been set based on the national curriculum for the gce at the ordinary level, this quiz has been set with each question having four options and just one of these options is correct. After going through these questions and getting them correctly, answering gce coordinate geometry questions will be super easy for you. Here we will talk about what coordinate geometry is and it’s uses.

A coordinate geometry is a system whereby the position of a point or a set of points on a plane (as we all probably know, a plane is a flat surface that keeps on going forever in both directions) is described with the use of an ordered pair of numbers. If the coordinates of a group of points are well known then we can;

  • Calculate the distance between the points
  • Find the slope and midpoint of the points
  • Determines if the lines are perpendicular or parallel
  • Find the perimeter and area of the shape defined by the points

Etc

Good luck as you go through the questions.

1:

  The distance of the point P(2, 3) from the x-axis is 


Correct
  • 1:
    2
  • 2:
    3
  • 3:
    1
  • 4:
    5
2:

 The distance between the point P(1, 4) and Q(4, 0) is 


Correct
  • 1:
    4
  • 2:
    5
  • 3:
    6
  • 4:
    3√3
3:

  The points (-5, 1), (1, p) and (4, -2) are collinear if the value of p is 


Correct
  • 1:
    3
  • 2:
    2
  • 3:
    1
  • 4:
    -1
4:

 The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is 


Correct
  • 1:
    63
  • 2:
    35
  • 3:
    53
  • 4:
    36
5:

 The distance of the point (α, β) from the origin is 


Correct
  • 1:
    α + β
  • 2:
    α² + β²
  • 3:
    |α| + |β|
  • 4:
    √(α² + β²)
6:

  The area of the triangle whose vertices are A(1, 2), B(-2, 3) and C(-3, -4) is 


Correct
  • 1:
    11
  • 2:
    22
  • 3:
    33
  • 4:
    21
7:

 The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are 


Correct
  • 1:
    (3, 3)
  • 2:
    (- 3, 3)
  • 3:
    (3, – 3)
  • 4:
    (-3,-3)
8:

 The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio 


Correct
  • 1:
    3 : 4
  • 2:
    3 : 2
  • 3:
    2 : 3
  • 4:
    4 : 3
9:

  If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is 


Correct
  • 1:
    12
  • 2:
    -6
  • 3:
    -12
  • 4:
    -4
10:

 If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is 


Correct
  • 1:
    -7 or -1
  • 2:
    -7 or 1
  • 3:
    7 or 1
  • 4:
    7 or -1
11:

  The points (1,1), (-2, 7) and (3, -3) are 


Correct
  • 1:
    vertices of an equilateral triangle
  • 2:
    collinear
  • 3:
    vertices of an isosceles triangle
  • 4:
    none of these
12:

 The coordinates of the centroid of a triangle whose vertices are (0, 6), (8,12) and (8, 0) is 


Correct
  • 1:
    (4, 6)
  • 2:
    (16, 6)
  • 3:
    (8, 6)
  • 4:
    (16/3, 6)
13:

 Two vertices of a triangle are (3, – 5) and (- 7,4). If its centroid is (2, -1), then the third vertex is 


Correct
  • 1:
    (10, 2)
  • 2:
    (-10,2)
  • 3:
    (10,-2)
  • 4:
    (-10,-2)
14:

 The area of the triangle formed by the points A(-1.5, 3), B(6, -2) and C(-3, 4) is 


Correct
  • 1:
    0
  • 2:
    1
  • 3:
    2
  • 4:
    3/2
15:

  If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then 


Correct
  • 1:
    2a = b
  • 2:
    a = -b
  • 3:
    a = 2b
  • 4:
    a = b

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O level Coordinate Geometry Quiz 1
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