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Grade 10 · Analytical Geometry
Analytical Geometry: All the Exam Question Types
WORKSHEET
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  / 20

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Distance between (1, 1) and (4, 5). (distance)
    (2)
  2. 2
    Distance between (−2, 1) and (1, 5). (distance)
    (2)
  3. 3
    Midpoint of (2, 4) and (6, 10). (midpoint)
    (2)
  4. 4
    Gradient of the line through (1, 2) and (5, 10). (gradient)
    (2)
  5. 5
    Are gradients 3 and 3 parallel or perpendicular? (parallel)
    (2)
  6. 6
    What gradient is perpendicular to gradient 2? (perpendicular)
    (2)
  7. 7
    What gradient is perpendicular to gradient −34? (perpendicular)
    (2)
  8. 8
    Are (0, 0), (2, 4), (3, 6) collinear? (collinear)
    (2)
  9. 9
    Midpoint of (1, 2) and (x, 8) is (4, 5). Find x. (unknown)
    (2)
  10. 10
    Distance from (0, 0) to (x, 12) is 13 (x > 0). Find x. (unknown)
    (2)
TOTAL: 20 marks
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