Master Chapter 3.1 of SEBA Class 9 Mathematics (Coordinate Geometry) with detailed step-by-step solutions, key formulas, and tips designed to help you score 100% in your Assam Board exams.

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SEBA Class 9 Exercise 3.1 Latest Sylabus 2026-27

Q1. How will you describe the position of a table lamp on your study table to another person?

Ans:-

To describe the position of a table lamp on a study table:

  1. Consider the flat surface of the table as a plane and the lamp as a point on it.
  2. Choose two perpendicular edges of the table (say, the shorter edge and the longer edge).
  3. Measure the perpendicular distance of the lamp from the shorter edge, let it be $25\text{ cm}$.
  4. Measure the perpendicular distance of the lamp from the longer edge, let it be $30\text{ cm}$.

Therefore, the position of the table lamp can be written as an ordered pair (25, 30) or (30, 25), depending on the reference edge taken first.

Q.2 (Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.

All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1 cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.

There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North – South direction and another in the East – West direction. Each cross street is referred to in the following manner : If the 2nd street running in the North – South direction and 5th in the East – West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

(i) how many cross – streets can be referred to as (4, 3).

(ii) how many cross – streets can be referred to as (3, 4).

Ans:-

(i) There is only one cross-street that can be referred to as (4, 3). (It is the intersection of the 4th street in the North-South direction and the 3rd street in the East-West direction).

(ii) There is only one cross-street that can be referred to as (3, 4). (It is the intersection of the 3rd street in the North-South direction and the 4th street in the East-West direction).

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