JAMB and WAEC Mathematics questions: Coordinate geometry

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

1. Question 21· Coordinate geometry· JAMB

   The lines y = 2x + 3 and y = kx − 1 are perpendicular. Find k.

   • A½
   • B2
   • C−2
   • D−½

   Show answer

   Explanation and discussion

2. Question 22· Coordinate geometry· JAMB

   Find the equation of the line through (2, 1) and (4, 5).

   • Ay = 2x − 1
   • By = 2x + 1
   • Cy = x − 1
   • Dy = 2x − 3

   Show answer

   Explanation and discussion

3. Question 23· Coordinate geometry· JAMB

   Find the equation of the line through (0, −2) with gradient 5.

   • Ay = 2x − 5
   • By = −2x + 5
   • Cy = 5x + 2
   • Dy = 5x − 2

   Show answer

   Explanation and discussion

4. Question 24· Coordinate geometry· JAMB

   Find the gradient of a line perpendicular to 2y = 4x + 1.

   • A−½
   • B2
   • C−2
   • D½

   Show answer

   Explanation and discussion

5. Question 25· Coordinate geometry· WAEC

   The point (k, 4) lies on the line y = 2x − 6. Find k.

   • A7
   • B2
   • C−1
   • D5

   Show answer

   Explanation and discussion

6. Question 26· Coordinate geometry· WAEC

   Find the midpoint of the line joining (−4, 9) and (6, −3).

   • A(1, 3)
   • B(2, 6)
   • C(5, −6)
   • D(−5, 6)

   Show answer

   Explanation and discussion

7. Question 27· Coordinate geometry· WAEC

   Find the midpoint of the line joining (3, −4) and (−7, 10).

   • A(5, −7)
   • B(−2, 3)
   • C(−4, 6)
   • D(2, −3)

   Show answer

   Explanation and discussion

8. Question 28· Coordinate geometry· JAMB

   Find the point where the lines y = x + 1 and y = 3x − 5 meet.

   • A(4, 5)
   • B(2, 3)
   • C(3, 4)
   • D(3, 2)

   Show answer

   Explanation and discussion

9. Question 29· Coordinate geometry· JAMB

   Find the x-intercept of the line 3x − 4y = 12.

   • A4
   • B−3
   • C3
   • D12

   Show answer

   Explanation and discussion

10. Question 30· Coordinate geometry· JAMB

    Find the midpoint of the line joining (2, −3) and (−4, 5).

    • A(−2, 2)
    • B(−1, 1)
    • C(3, −4)
    • D(1, −1)

    Show answer

    Explanation and discussion

11. Question 31· Coordinate geometry· JAMB

    Find the midpoint of the line joining (−2, 5) and (4, −1).

    • A(2, 4)
    • B(1, 2)
    • C(3, 3)
    • D(−1, 2)

    Show answer

    Explanation and discussion

12. Question 32· Coordinate geometry· WAEC

    Find the gradient of the line 5x − y + 2 = 0.

    • A−5
    • B5
    • C2
    • D1/5

    Show answer

    Explanation and discussion

13. Question 33· Coordinate geometry· JAMB

    Find the equation of the line through (2, 5) and (4, 9).

    • Ay = 2x + 1
    • By = 2x + 5
    • Cy = x + 3
    • Dy = 4x − 3

    Show answer

    Explanation and discussion

14. Question 34· Coordinate geometry· WAEC

    Find the equation of the line with gradient 3 that passes through (1, 2).

    • Ay = 3x − 1
    • By = 3x + 2
    • Cy = 3x + 1
    • Dy = x + 3

    Show answer

    Explanation and discussion

15. Question 35· Coordinate geometry· WAEC

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

    • A25
    • B7
    • C5
    • D√7

    Show answer

    Explanation and discussion

16. Question 36· Coordinate geometry· WAEC

    Find the distance between (1, −1) and (7, 7).

    • A8
    • B14
    • C10
    • D6

    Show answer

    Explanation and discussion

17. Question 37· Coordinate geometry· JAMB

    Find the equation of the line with gradient 2 that passes through (1, 3).

    • Ay = 2x + 3
    • By = 2x + 1
    • Cy = 2x − 1
    • Dy = x + 2

    Show answer

    Explanation and discussion

18. Question 38· Coordinate geometry· JAMB

    The lines y = 2x + 3 and 4x − 2y = 5 are

    • Aperpendicular
    • Bparallel
    • Cthe same line
    • Dintersecting at (0, 3)

    Show answer

    Explanation and discussion

19. Question 39· Coordinate geometry· WAEC

    Find the equation of the line with gradient −3 that passes through (0, 5).

    • Ay = −3x + 5
    • By = 3x + 5
    • Cy = −3x − 5
    • Dy = 5x − 3

    Show answer

    Explanation and discussion

20. Question 40· Coordinate geometry· WAEC

    Find the midpoint of the line segment joining (−2, 5) and (4, −1).

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

    Show answer

    Explanation and discussion