JAMB and WAEC Mathematics questions: Coordinate geometry

46 questions with answers and explanations. Tap an option to check yourself.

1. Question 1· Coordinate geometry· WAEC

   Find the midpoint of the line joining (3, −7) and (−5, 9).

   • A(−1, 2)
   • B(4, −8)
   • C(−1, 1)
   • D(1, −1)

   Show answer

   Explanation and discussion

2. Question 2· Coordinate geometry· JAMB

   Find the distance between the points (1, 2) and (4, 6).

   • A25
   • B7
   • C√7
   • D5

   Show answer

   Explanation and discussion

3. Question 3· Coordinate geometry· JAMB

   Find the gradient of the line 3x + 2y = 6.

   • A3
   • B3/2
   • C−2/3
   • D−3/2

   Show answer

   Explanation and discussion

4. Question 4· Coordinate geometry· JAMB

   Find the midpoint of the line joining (a, 2b) and (3a, 4b).

   • A(2a, 3b)
   • B(4a, 6b)
   • C(a, b)
   • D(2a, 2b)

   Show answer

   Explanation and discussion

5. Question 5· Coordinate geometry· WAEC

   Find the distance between (−2, 1) and (4, 9).

   • A10
   • B14
   • C100
   • D√28

   Show answer

   Explanation and discussion

6. Question 6· Coordinate geometry· JAMB

   The points (1, 2), (2, 4) and (3, k) lie on a straight line. Find k.

   • A5
   • B6
   • C8
   • D3

   Show answer

   Explanation and discussion

7. Question 7· Coordinate geometry· WAEC

   The equation of the line with gradient 3 passing through (0, −2) is

   • Ay = 3x − 2
   • By = −2x + 3
   • Cy = 3x + 2
   • Dy = x − 2

   Show answer

   Explanation and discussion

8. Question 8· Coordinate geometry· JAMB

   Find the gradient of the line joining (2, 3) and (6, 11).

   • A2
   • B1/2
   • C4
   • D8

   Show answer

   Explanation and discussion

9. Question 9· Coordinate geometry· WAEC

   Where does the line 4x + 2y = 10 cut the y-axis?

   • A(2.5, 0)
   • B(5, 0)
   • C(0, 10)
   • D(0, 5)

   Show answer

   Explanation and discussion

10. Question 10· Coordinate geometry· WAEC

    Find the gradient of the line joining (3, −2) and (7, 6).

    • A2
    • B½
    • C−2
    • D1

    Show answer

    Explanation and discussion

11. Question 11· Coordinate geometry· JAMB

    Where does the line 2x − y + 3 = 0 cut the x-axis?

    • A(−3, 0)
    • B(1.5, 0)
    • C(0, 3)
    • D(−1.5, 0)

    Show answer

    Explanation and discussion

12. Question 12· Coordinate geometry· JAMB

    Find the equation of the line through (1, 2) that is parallel to y = 4x − 1.

    • Ay = 4x − 1
    • By = 4x + 2
    • Cy = −¼x + 2
    • Dy = 4x − 2

    Show answer

    Explanation and discussion

13. Question 13· Coordinate geometry· JAMB

    Find the equation of the line with gradient −3 and y-intercept 2.

    • Ay = −3x − 2
    • By = 2x − 3
    • Cy = 3x + 2
    • Dy = −3x + 2

    Show answer

    Explanation and discussion

14. Question 14· Coordinate geometry· WAEC

    Find the gradient of the line joining (−1, 4) and (3, −8).

    • A−4
    • B3
    • C−1/3
    • D−3

    Show answer

    Explanation and discussion

15. Question 15· Coordinate geometry· JAMB

    Find the distance of the point (5, 12) from the origin.

    • A7
    • B17
    • C13
    • D√17

    Show answer

    Explanation and discussion

16. Question 16· Coordinate geometry· WAEC

    Find the gradient of the line joining the points (1, 2) and (3, 8).

    • A1/3
    • B3
    • C2
    • D6

    Show answer

    Explanation and discussion

17. Question 17· Coordinate geometry· JAMB

    Find the point where y = 2x − 1 meets y = x + 2.

    • A(5, 3)
    • B(1, 3)
    • C(3, 5)
    • D(2, 3)

    Show answer

    Explanation and discussion

18. Question 18· Coordinate geometry· JAMB

    Find the gradient of a line perpendicular to y = −3x + 4.

    • A−1/3
    • B1/3
    • C3
    • D−3

    Show answer

    Explanation and discussion

19. Question 19· Coordinate geometry· JAMB

    Find the gradient of the line through (−1, 4) and (3, −4).

    • A−2
    • B2
    • C−½
    • D0

    Show answer

    Explanation and discussion

20. Question 20· Coordinate geometry· JAMB

    Line L is perpendicular to 2y = x + 5. Find the gradient of L.

    • A−2
    • B2
    • C−1/2
    • D1/2

    Show answer

    Explanation and discussion