(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).

Steps of construction :

1. Consider NS as y-axis and EW as x-axis.

2. Draw 5 streets parallel to both the axis.

3. Suppose x no. street parallel to y-axis crosses y no. street parallel to x-axis, so the cross street will be referred as (x, y).

4. Mark the points (4, 3) and (3, 4).

Both the cross-streets are marked in the figure above. They are uniquely found because of the two reference lines we have used for locating them.

(i) From figure,

Only one street can be referred as (4, 3).

(ii) From figure,

Only one street can be referred as (3, 4).