Cartesian rectangular coordinate system in a plane - One Line Questions

1. A point Q has coordinates (-2, 7). What is the ordinate of point Q? — 7
2. What is the section formula for a point dividing the line segment joining (x1, y1) and (x2, y2) internally in the ratio m:n? — ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n))
3. What is the midpoint of the line segment joining points (x1, y1) and (x2, y2)? — ((x1 + x2)/2, (y1 + y2)/2)
4. Which of the following points lies on the positive X-axis? — (7, 0)
5. What are the coordinates of the origin in a Cartesian plane? — (0, 0)
6. Find the midpoint of the line segment joining (1, 2) and (7, 8). — (4, 5)
7. If a point is equidistant from the X-axis and Y-axis, and lies in the first quadrant, its coordinates are of the form: — (a, a)
8. What is the distance of the point (3, 8) from the origin? — sqrt(73)
9. A point P has coordinates (5, 3). What is the abscissa of point P? — 5
10. What is the distance of the point (-3, 4) from the origin? — 5
11. Calculate the distance between the points (2, 3) and (5, 7). — 5
12. The equation y = mx + c represents: — A straight line
13. What is the geometric interpretation of the equation Ax + By + C = 0 in a plane? — A straight line
14. What is the locus of points (x, y) such that x = 5? — A vertical line
15. The equation x^2 + y^2 = r^2 in Cartesian coordinates represents: — A circle centered at the origin
16. What is the locus of points (x, y) such that y = -2? — A horizontal line
17. In the Cartesian coordinate system, the position of a point is represented by an ordered pair of numbers. What is the second number called? — Ordinate
18. The y-coordinate of a point is also known as its: — Ordinate
19. If the distance between points (a, 0) and (0, b) is d, then which relation holds? — d^2 = a^2 + b^2
20. The point where the X-axis and Y-axis intersect in a Cartesian coordinate system is called the: — Origin
21. What is the symbol used to represent the origin in a Cartesian coordinate system? — O
22. In a Cartesian coordinate system, what are the two perpendicular lines called? — Coordinate axes
23. In the Cartesian coordinate system, the position of a point is represented by an ordered pair of numbers. What is the first number called? — Abscissa
24. The x-coordinate of a point is also known as its: — Abscissa
25. What is the name of the system used to define the position of a point in a plane using two perpendicular lines? — Cartesian coordinate system
26. A point lies on the positive X-axis. What is its y-coordinate? — Zero
27. A point lies on the negative Y-axis. What is its x-coordinate? — Zero
28. If a point lies on the X-axis, its y-coordinate is always: — Zero
29. If a point lies on the Y-axis, its x-coordinate is always: — Zero
30. In which quadrant is the point with coordinates (3, -4) located? — Quadrant IV
31. In which quadrant is the point with coordinates (-5, -6) located? — Quadrant III
32. Which quadrant is defined by positive x-values and positive y-values? — Quadrant I
33. Which quadrant is defined by negative x-values and positive y-values? — Quadrant II
34. Which quadrant is defined by negative x-values and negative y-values? — Quadrant III
35. Which quadrant is defined by positive x-values and negative y-values? — Quadrant IV
36. In which quadrant does the point (-4, 10) lie? — Quadrant II
37. The point (2, -2) lies in which quadrant? — Quadrant IV
38. What is the distance between two points (x1, y1) and (x2, y2) in a Cartesian plane? — sqrt((x2 - x1)^2 + (y2 - y1)^2)
39. What is the locus of points (x, y) such that x = 0? — The y-axis
40. What is the locus of points (x, y) such that y = 0? — The x-axis
41. The Cartesian coordinate system divides the plane into how many regions? — Four
42. What is the distance of a point (x, y) from the X-axis? — |y|
43. The distance of a point P(x, y) from the origin (0, 0) is given by the formula: — sqrt(x^2 + y^2)
44. What is the vertical line in the Cartesian coordinate system called? — Y-axis
45. If a point has coordinates (x, y), which axis does 'x' represent the distance from? — Y-axis
46. The point (0, -5) lies on which axis? — Y-axis
47. What is the distance of a point (x, y) from the Y-axis? — |x|
48. What is the horizontal line in the Cartesian coordinate system called? — X-axis
49. If a point has coordinates (x, y), which axis does 'y' represent the distance from? — X-axis
50. The point (3, 0) lies on which axis? — X-axis
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