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(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 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
Both the cross-streets are marked in the above figure. It can be observed that there is only one cross-street which can be referred as $(4, \,3)$, and again, only one which can be referred as $(3,\, 4)$.
Similar Questions
Plot the following ordered pairs $(x,\, y)$ of numbers as points in the Cartesian plane. Use the scale $1\,cm = 1$ unit on the axes.
| $x$ | $-3$ | $0$ | $-1$ | $4$ | $2$ |
| $y$ | $7$ | $-3.5$ | $-3$ | $4$ | $-3$ |
Plot the points $(x,\, y)$ given in the following table on the plane, choosing suitable units of distance on the axes.
| $x$ | $-2$ | $-1$ | $0$ | $1$ | $3$ |
| $y$ | $8$ | $7$ | $-1.25$ | $3$ | $-1$ |
