NCERT Solutions for Class 9th Maths Chapter 1 Orienting Yourself: The Use of Coordinates
Updated on 2026-09-08
About this chapter
Two perpendicular number lines — the horizontal x-axis and the vertical y-axis — meet at the origin O (0, 0). Together they are the coordinate axes, and the plane they lie in is the Cartesian plane (also: coordinate plane, xy-plane). For a point P ( x , y ), x is the perpendicular distance of P from the y-axis measured along the x-axis, and y is its perpendicular distance from the x-axis measured along the y-axis. Right and up are positive; left and down are negative. Because each of the two displacements carries its own sign, there are 2 × 2 = 4 sign patterns, and so exactly four quadrants : I (+, +), II (−, +), III (−, −), IV (+, −). A point with a zero displacement sits on an axis and belongs to no quadrant: ( x , 0) on the x-axis, (0, y ) on the y-axis. The pair is ordered . ( x , y )
- Settling In
- The 2-d Cartesian Coordinate System
- After Exercise Set 1.1
- After Fig. 1.4
- Distance Between Two Points in the 2-D Plane
- Chapter 1 Orienting Yourself: The Use of Coordinates
Exercises
- In-text Questions — Settling In Page 3
- Exercise Set 1.1 — The 2-d Cartesian Coordinate System Page 5
- After Exercise Set 1.1 — Think and Reflect Page 5
- In-text Questions — The 2-d Cartesian Coordinate System Page 6
- In-text Questions — The 2-d Cartesian Coordinate System Page 7
- After Fig. 1.4 — Think and Reflect Page 7
- Exercise Set 1.2 — The 2-d Cartesian Coordinate System Page 8
- In-text Questions — Distance Between Two Points in the 2-D Plane Page 9
- Think and Reflect — Distance Between Two Points in the 2-D Plane Page 9
- In-text Questions — Distance Between Two Points in the 2-D Plane Page 11
- Think and Reflect — Distance Between Two Points in the 2-D Plane Page 11
- Chapter 1 Orienting Yourself: The Use of Coordinates — End-of-Chapter Exercises Page 12–14