Mathematics · Class 9
Coordinate Geometry
Cartesian system, plotting points, and distance formula introduction.
3 sections15–25 min read6 MCQs · 2 examples
Chapter Overview
Coordinate Geometry introduces the Cartesian plane — plotting points using ordered pairs (x, y), identifying quadrants, and reading coordinates from graphs. It bridges algebra and geometry.
Cartesian Plane
- Two perpendicular axes: x-axis (horizontal) and y-axis (vertical)
- Origin O is (0, 0)
- Quadrants I (+,+), II (−,+), III (−,−), IV (+,−)
- Abscissa = x-coordinate; ordinate = y-coordinate
Plotting Points
- To plot (a, b): move |a| units along x, then |b| along y
- Points on x-axis have y = 0, form (k, 0); on y-axis: (0, k)
- Points equidistant from axes lie on y = x or y = −x
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Example 1: Identify quadrant
In which quadrant does (−3, 5) lie?
- 1x = −3 (negative)
- 2y = 5 (positive)
- 3Negative x, positive y → Quadrant II
Answer
Quadrant II
Example 2: Plot and read
A point lies 4 units right and 3 units up from origin. Write coordinates.
- 1Right → positive x
- 2Up → positive y
- 3Coordinates are (4, 3)
Answer
(4, 3)
Key Points to Remember
- ✓ Order matters: (x, y) ≠ (y, x) in general
- ✓ Distance from y-axis = |x|
- ✓ Every point has unique coordinates
Exam Tips
- • Draw axes with arrows and label quadrants
- • Check sign of coordinates before naming quadrant
- • Use graph paper for accuracy
Practice MCQs — Coordinate Geometry
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 6Score: 0/0
Coordinates of origin are: