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#mathsclass9 #rajansir Exercise 3.1 class 9 maths Exercise 3.1 class 9 maths by @rajansir07 Maths Chapter 3 – Coordinate Geometry Exercise 3.1 1. How will you describe the position of a table lamp on your study table to another person? Solution: To describe the position of a table lamp on the study table, we take two lines, a perpendicular and a horizontal line. Consider the table as a plane (x and y axis) and take the perpendicular line as Y axis and the horizontal as X axis, respectively. Take one corner of the table as the origin where both X and Y axes intersect each other. Now, the length of the table is the Y-axis, and the breadth is the X axis. From the origin, join the line to the table lamp and mark a point. The distances of the point from both the X and Y axes should be calculated and then should be written in terms of coordinates. The distance of the point from X- axis and Y- axis is x and y, respectively, so the table lamp will be in (x, y) coordinates. Here, (x, y) = (15, 25) 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 1cm = 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). Only one street can be referred to as (4,3) (as we see from the figure). Only one street can be referred to as (3,4) (as we see from the figure