Chapter 3 Coordinate Geometry Exercise 3.1
Question 1: How will you describe the position of a table lamp on your study table to another person?
Answer:
![Chapter 3 Coordinate Geometry Exercise 3.1 Question 1](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgC4V7jAb9dT4K2fAR0HUyFx10p0F857H3a1oSlPmV3pCRiHfvctDdPSfw9d6u2B3VZOeouIJuZJ0LgxRtE03_sP5jOU3m9flrcT8JRlVjpflnk8T-5NfQirIGmEPnx5rNnE3RAWI_johex/s16000-rw/Question+1.jpg)
1. To describe the position of a table lamp placed on the table, let us consider the table lamp as T and the table as a plane.
2. Now choose two perpendicular edges of the table as the axes OX and OY.
3. Measure the perpendicular distance, ‘a’ cm of T (table lamp) from OY. Measure the perpendicular distance, ‘b’ cm of T (table lamp) from OX.
4. Thus, the position of the table lamp P is described by the ordered pair (a, b).
Question 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).
Answer:
![Chapter 3 Coordinate Geometry Exercise 3.1 Question 2](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhOdWlJ2v_iZJH6vo5WCCJQtbj0W6wSPEpIKzAECSQG1yVGKGGVUCVNKiqIi_IfCiXXn4mJQpZhjCgCI-gKKwqIxuIVjPzpYvVFf_uL1Zg2T8Wp3hJa6UmWZLY1GNreSITnYupE5tWGyrz/s16000-rw/Question+2.jpg)
i) A unique cross street as shown by the point A(4, 3).
ii) A unique cross street as shown by the point B(3,4).
The two cross streets are uniquely found because of the two reference lines we have used for locating them.
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