(a) Only one unique intersection is referred to as (4, 3). (b) Only one unique intersection is referred to as (3, 4). In any coordinate system, every pair (x, y) represents exactly one specific point.
A city has two main roads which cross each other at the centre of the city. These two roads are along the North–South (N–S) direction and East–West (E–W) direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 10 streets in each direction. (i) Using 1 cm = 200 m, draw a model of the city in your notebook. Represent the roads/streets by single lines. (ii) There are street intersections in the model. Each street intersection is formed by two streets — one running in the N–S direction and another in the E–W direction. Each street intersection is referred to in the following manner: If the second street running in the N–S direction and 5th street in the E–W direction meet at some crossing, then we call this street intersection (2, 5). Using this convention, find: (a) how many street intersections can be referred to as (4, 3). (b) how many street intersections can be referred to as (3, 4).
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(i) The city is represented as a coordinate grid where North-South streets are vertical lines and East-West streets are horizontal lines. (ii) (a) Based on the convention that an ordered pair represents a specific crossing, only one unique intersection exists for the point (4, 3), where the 4th North-South street meets the 3rd East-West street. (b) Likewise, there is only one unique intersection referred to as (3, 4). These represent two different physical locations in the city.
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/