Cartesian rectangular coordinate system in a plane - Question Bank
1. Which of the following points lies on the positive X-axis?
2. What is the distance of the point (3, 8) from the origin?
3. The point (2, -2) lies in which quadrant?
4. What is the geometric interpretation of the equation Ax + By + C = 0 in a plane?
5. If a point is equidistant from the X-axis and Y-axis, and lies in the first quadrant, its coordinates are of the form:
6. The y-coordinate of a point is also known as its:
7. The x-coordinate of a point is also known as its:
8. In which quadrant does the point (-4, 10) lie?
9. What is the section formula for a point dividing the line segment joining (x1, y1) and (x2, y2) internally in the ratio m:n?
10. Find the midpoint of the line segment joining (1, 2) and (7, 8).
11. What is the midpoint of the line segment joining points (x1, y1) and (x2, y2)?
12. The equation y = mx + c represents:
13. The equation x^2 + y^2 = r^2 in Cartesian coordinates represents:
14. What is the locus of points (x, y) such that y = 0?
15. What is the locus of points (x, y) such that x = 0?
16. What is the locus of points (x, y) such that y = -2?
17. What is the locus of points (x, y) such that x = 5?
18. The point (0, -5) lies on which axis?
19. The point (3, 0) lies on which axis?
20. If the distance between points (a, 0) and (0, b) is d, then which relation holds?
21. What is the distance of the point (-3, 4) from the origin?
22. Calculate the distance between the points (2, 3) and (5, 7).
23. What is the distance between two points (x1, y1) and (x2, y2) in a Cartesian plane?
24. The distance of a point P(x, y) from the origin (0, 0) is given by the formula:
25. What is the distance of a point (x, y) from the X-axis?
26. What is the distance of a point (x, y) from the Y-axis?
27. If a point lies on the Y-axis, its x-coordinate is always:
28. If a point lies on the X-axis, its y-coordinate is always:
29. Which quadrant is defined by positive x-values and negative y-values?
30. Which quadrant is defined by negative x-values and negative y-values?
31. Which quadrant is defined by negative x-values and positive y-values?
32. Which quadrant is defined by positive x-values and positive y-values?
33. The Cartesian coordinate system divides the plane into how many regions?
34. What are the coordinates of the origin in a Cartesian plane?
35. A point lies on the negative Y-axis. What is its x-coordinate?
36. A point lies on the positive X-axis. What is its y-coordinate?
37. In which quadrant is the point with coordinates (-5, -6) located?
38. In which quadrant is the point with coordinates (3, -4) located?
39. If a point has coordinates (x, y), which axis does 'y' represent the distance from?
40. If a point has coordinates (x, y), which axis does 'x' represent the distance from?
41. A point Q has coordinates (-2, 7). What is the ordinate of point Q?
42. A point P has coordinates (5, 3). What is the abscissa of point P?
43. In the Cartesian coordinate system, the position of a point is represented by an ordered pair of numbers. What is the second number called?
44. In the Cartesian coordinate system, the position of a point is represented by an ordered pair of numbers. What is the first number called?
45. What is the symbol used to represent the origin in a Cartesian coordinate system?
46. The point where the X-axis and Y-axis intersect in a Cartesian coordinate system is called the:
47. What is the vertical line in the Cartesian coordinate system called?
48. What is the horizontal line in the Cartesian coordinate system called?
49. In a Cartesian coordinate system, what are the two perpendicular lines called?
50. What is the name of the system used to define the position of a point in a plane using two perpendicular lines?