CSAT Suneung · CSAT Mathematics

Coordinate geometry and vectors

19 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 19 questions

  1. What is the distance between the points (1, 2) and (4, 6)?
  2. What is the distance between the points (0, 0) and (5, 12)?
  3. What is the distance between the points (2, -1) and (10, 5)?
  4. What is the distance between the points (-3, 1) and (2, 13)?
  5. What is the distance between the points (1, 1) and (9, 16)?
  6. What is the dot product of the vectors (1, 2) and (3, 4)?
  7. What is the dot product of the vectors (2, -1) and (3, 5)?
  8. What is the dot product of the vectors (4, 0) and (1, 7)?
  9. What is the dot product of the vectors (-2, 3) and (5, 2)?
  10. What are the centre and radius of the circle (x - 1)^2 + (y - 2)^2 = 9?
  11. What are the centre and radius of the circle (x + 2)^2 + (y - 3)^2 = 16?
  12. What are the centre and radius of the circle x^2 + (y + 1)^2 = 25?
  13. What are the centre and radius of the circle (x - 3)^2 + (y - 3)^2 = 4?
  14. What is the focus of the parabola y^2 = 8x?
  15. What is the length of the major axis of the ellipse x^2/25 + y^2/9 = 1?
  16. The vectors a = (2, k) and b = (3, 4) are perpendicular. What is k?
  17. The line 3x + 4y = 12 meets the x-axis at A and the y-axis at B. What is the length of AB?
  18. The distance from the point (0, 0) to the line 3x + 4y - 10 = 0 is
  19. A cube has edge length 4. What is the length of its space diagonal?

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