
1. How will you describe the position of a table lamp on your study table to another person?
solution :
Consider the lamp as a point and table as a plane. Choose any two perpendicular edges of the table. Measure the distance of the lamp from the longer edge, suppose it is 45 cm. Again, measure the distance of the lamp from the shorter edge, and suppose it is 20 cm. You can write the position of the lamp as (20, 45) or (45, 20), depending on the order.

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).
solution :

(i) Only one street can be referred to as (4,3) ( see in the figure ).
(ii) Only one street can be referred to as (3,4) ( see in the figure ).
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