Coordinates of a Point MCQs Quiz | Class 9
This Class IX Mathematics (Code 041) quiz covers Unit III: Coordinate Geometry. It focuses on coordinates of a point, specifically ordered pairs, abscissa, and ordinate. Test your understanding of the Cartesian plane and prepare for your exams. Click Submit to see your score and download the answer key PDF.
Chapter Overview: Coordinate Geometry
Coordinate Geometry is the branch of mathematics that deals with the position of points on a plane using a pair of numbers known as coordinates. In Class 9, Unit III, we focus on the Cartesian system, which helps us locate points precisely.
Key Concepts
- Cartesian Plane: A plane formed by the intersection of two perpendicular number lines: the horizontal line (x-axis) and the vertical line (y-axis).
- Origin: The point where the x-axis and y-axis intersect. Its coordinates are always (0, 0).
- Coordinates of a Point: Written as an ordered pair (x, y).
- Abscissa: The x-coordinate (distance from the y-axis).
- Ordinate: The y-coordinate (distance from the x-axis).
Quadrants and Sign Conventions
The axes divide the plane into four parts called quadrants, numbered anti-clockwise.
| Quadrant | Nature of x | Nature of y | Sign (x, y) |
|---|---|---|---|
| Quadrant I | Positive | Positive | (+, +) |
| Quadrant II | Negative | Positive | (-, +) |
| Quadrant III | Negative | Negative | (-, -) |
| Quadrant IV | Positive | Negative | (+, -) |
Important Points to Remember
- If a point lies on the x-axis, its y-coordinate is always 0. Example: (5, 0).
- If a point lies on the y-axis, its x-coordinate is always 0. Example: (0, -3).
- The perpendicular distance of a point (x, y) from the y-axis is equal to the absolute value of x (abscissa).
- The perpendicular distance of a point (x, y) from the x-axis is equal to the absolute value of y (ordinate).
Extra Practice Questions
- Plot the point (-2, 4) on a graph paper and state its quadrant. (Answer: Quadrant II)
- Write the coordinates of a point whose abscissa is -5 and ordinate is -3. (Answer: (-5, -3))
- If x is positive and y is negative, in which quadrant does the point lie? (Answer: Quadrant IV)
- What is the equation of the x-axis? (Answer: y = 0)
- Find the mirror image of the point (3, 4) in the x-axis. (Answer: (3, -4))
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