(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 $2^{nd}$ street running in the North-South direction and $5^{th}$ 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 $(3, 4).$

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(A) Based on the convention provided,the first number represents the street running in the North-South direction,and the second number represents the street running in the East-West direction.
$(i)$ The cross-street $(4, 3)$ is formed by the intersection of the $4^{th}$ North-South street and the $3^{rd}$ East-West street. Since there is only one such intersection point,there is only $1$ cross-street that can be referred to as $(4, 3).$
$(ii)$ The cross-street $(3, 4)$ is formed by the intersection of the $3^{rd}$ North-South street and the $4^{th}$ East-West street. Similarly,there is only $1$ cross-street that can be referred to as $(3, 4).$

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