JAMB Mathematics questions: Coordinate geometry

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

1. Question 1· Coordinate geometry· JAMB

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

   • A25
   • B7
   • C√7
   • D5

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2. Question 2· Coordinate geometry· JAMB

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

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

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3. Question 3· 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)

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4. Question 4· Coordinate geometry· JAMB

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

   • A5
   • B6
   • C8
   • D3

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5. Question 5· Coordinate geometry· JAMB

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

   • A2
   • B1/2
   • C4
   • D8

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6. Question 6· 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)

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7. Question 7· 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

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8. Question 8· 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

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9. Question 9· Coordinate geometry· JAMB

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

   • A7
   • B17
   • C13
   • D√17

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10. Question 10· 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)

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11. Question 11· Coordinate geometry· JAMB

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

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

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12. Question 12· Coordinate geometry· JAMB

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

    • A−2
    • B2
    • C−½
    • D0

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13. Question 13· Coordinate geometry· JAMB

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

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

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14. Question 14· Coordinate geometry· JAMB

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

    • A½
    • B2
    • C−2
    • D−½

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15. Question 15· 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

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16. Question 16· 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

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17. Question 17· Coordinate geometry· JAMB

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

    • A−½
    • B2
    • C−2
    • D½

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18. Question 18· 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)

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19. Question 19· Coordinate geometry· JAMB

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

    • A4
    • B−3
    • C3
    • D12

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20. Question 20· 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)

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