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NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry covers the Cartesian coordinate system, the x-axis and y-axis, quadrants, and how to plot points in the plane.

Overview of Topics & Subtopics (Click to Jump)

1. Cartesian System

Short Note:

• The plane formed by two perpendicular number lines, one horizontal (x-axis) and one vertical (y-axis), is called the Cartesian plane.

• The point of intersection of the axes is called the origin, denoted O, with coordinates (0, 0).

• The axes divide the plane into four quadrants: I (+, +), II (−, +), III (−, −), IV (+, −).

2. Coordinates of a Point

Short Note:

• Every point in the plane has an ordered pair of coordinates (x, y): x is the abscissa (distance from y-axis), y is the ordinate (distance from x-axis).

• The coordinates of the origin are (0, 0). Any point on the x-axis has y = 0; any point on the y-axis has x = 0.

3. Plotting a Point in the Plane

Short Note:

• To plot a point (x, y), move x units along the x-axis (right if positive, left if negative), then y units parallel to the y-axis (up if positive, down if negative).

NCERT Textbook Exercise Questions

Write the answer of each of the following questions: (i) What is the name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane?
Answer: (i) The horizontal line is called the x-axis and the vertical line is called the y-axis.
In which quadrant or on which axis do the points (−2, 4), (3, −1), (−1, 0) and (1, 2) lie?
Answer: (−2, 4) lies in Quadrant II (x negative, y positive).
(3, −1) lies in Quadrant IV (x positive, y negative).
(−1, 0) lies on the negative x-axis.
(1, 2) lies in Quadrant I (x positive, y positive).
Plot the points (−3, 5), (3, −5), (0, 4) and (−5, −5) on a graph sheet and state which quadrant each lies in.
Answer: (−3, 5) lies in Quadrant II; (3, −5) lies in Quadrant IV; (0, 4) lies on the positive y-axis; (−5, −5) lies in Quadrant III.
See the given figure and write the coordinates of points A, B, C.
Answer: The coordinates are read off as ordered pairs (x, y) by drawing perpendiculars from each point to the x-axis and y-axis and noting where they meet each axis.
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More for this chapter

Class 9 › Mathematics › Coordinate Geometry
Chapter notesRead the chapterPractice MCQsCheck what you rememberChapter test10 questions on one pageOnline testTest 1, 2 and 3, one question at a timePYQPrevious year questionsStudy materialPDF notes
Topics in this chapter: Cartesian SystemCoordinates of a PointPlotting a Point in the Plane