Chapter 1: Orienting Yourself: The Use of Coordinates - Solutions
Chapter solutions are on NCERT Archive
Step-by-step solutions for this chapter now live on NCERT Archive, along with the chapter itself. Use the buttons below to open them.
About Chapter 1 (Orienting Yourself: The Use of Coordinates)
Chapter 1 (Orienting Yourself: The Use of Coordinates) is chapter 1 of 14 in the new edition of Ganita Manjari (NCERT Class 9 Mathematics), a textbook for Class 9 students at the Secondary stage. This is the new edition, the textbook brought out under the NEP 2020 / NCF-SE 2023 syllabus rollout.
Chapter 1 introduces the Cartesian plane: a pair of perpendicular number lines (the x-axis and y-axis) that give every point in a plane a unique address as an ordered pair of coordinates. Using a floor plan of a room, a house and a city block as running examples, the chapter develops the distance formula and the midpoint formula, and uses them to check whether points are collinear, to identify shapes such as squares and trapeziums from their vertices, and to work out spacing, widths and areas from coordinates alone.
It is the opening chapter of the book and is followed by Chapter 2 (Introduction to Linear Polynomials).
Topics covered
- The Cartesian plane, axes, origin and quadrants
- Plotting points from an ordered pair of coordinates
- The distance formula
- The midpoint formula
- Testing whether three points are collinear
- Identifying shapes (squares, trapeziums, triangles) from vertex coordinates
What the solutions on NCERT Archive include
NCERT Archive is our dedicated site for NCERT textbooks and solutions, Class 1 to 12. The solutions page for Chapter 1 (Orienting Yourself: The Use of Coordinates) there gives chapter-wise answers to the questions of Ganita Manjari (NCERT Class 9 Mathematics), written to follow the order of the textbook, and links back to the chapter itself. Use the buttons above to go to it.
How to study Orienting Yourself: The Use of Coordinates
- Read the worked examples before the exercises and copy out each step in your own hand.
- Attempt every exercise question yourself first; open the solution only to check your method or when you are stuck.
- Keep a short list of formulas and definitions from the chapter and revise it before tests.
- Redo the questions you got wrong after a day or two, without looking at the solution.
Frequently Asked Questions
Which book is Chapter 1 (Orienting Yourself: The Use of Coordinates) of Class 9 Mathematics from?
It is from the new edition of Ganita Manjari (NCERT Class 9 Mathematics). The book has 14 chapters, and this is chapter 1.
Where can I find the solutions for Chapter 1 (Orienting Yourself: The Use of Coordinates) of Class 9 Mathematics?
On NCERT Archive. Press the "Open Chapter Solutions" button on this page and you will land on the solutions page for this chapter there.
Is this the new edition or the old edition?
This page is for the new edition. If your school still uses the earlier textbook, use the Old Edition switch at the top of the page.
Is it free to use?
Yes. Scholar Donkey and NCERT Archive are free to use and need no login.