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WAEC Mathematics questions: Coordinate geometry

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

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  1. Question 1· Coordinate geometry· WAEC

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

    Explanation and discussion

  2. Question 2· Coordinate geometry· WAEC

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

    Explanation and discussion

  3. Question 3· Coordinate geometry· WAEC

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

    Explanation and discussion

  4. Question 4· Coordinate geometry· WAEC

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

    Explanation and discussion

  5. Question 5· Coordinate geometry· WAEC

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

    Explanation and discussion

  6. Question 6· Coordinate geometry· WAEC

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

    Explanation and discussion

  7. Question 7· Coordinate geometry· WAEC

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

    Explanation and discussion

  8. Question 8· Coordinate geometry· WAEC

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

    Explanation and discussion

  9. Question 9· Coordinate geometry· WAEC

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

    Explanation and discussion

  10. Question 10· Coordinate geometry· WAEC

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

    Explanation and discussion

  11. Question 11· Coordinate geometry· WAEC

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

    Explanation and discussion

  12. Question 12· Coordinate geometry· WAEC

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

    Explanation and discussion

  13. Question 13· Coordinate geometry· WAEC

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

    Explanation and discussion

  14. Question 14· Coordinate geometry· WAEC

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

    Explanation and discussion

  15. Question 15· Coordinate geometry· WAEC

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

    Explanation and discussion

  16. Question 16· Coordinate geometry· WAEC

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

    Explanation and discussion

  17. Question 17· Coordinate geometry· WAEC

    The line through (2, 3) and (2, 9) has equation

    Explanation and discussion

  18. Question 18· Coordinate geometry· WAEC

    Lines y = 2x + 1 and y = 2x − 5 are

    Explanation and discussion

  19. Question 19· Coordinate geometry· WAEC

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

    Explanation and discussion

  20. Question 20· Coordinate geometry· WAEC

    Find the equation of the line with gradient 2 that passes through the point (0, −3).

    Explanation and discussion

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