Question 13 Marks
(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. Cross street is referred to in this 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: how many cross - streets can be referred to as $(3, 4).$
Answer
View full question & answer→Let us draw two perpendicular lines as the two main roads of the city that cross each other at the center and mark it as $N-S$ and $E-W$. Let us take the scale as $1 cm = 200m$. Let us draw five streets that are parallel to both the main roads, to get the given below figure.
From the figure, we can conclude that only one point have the coordinates as $(3,4).$
Therefore, there is only one cross - street can be referred to as$ (3, 4).$
From the figure, we can conclude that only one point have the coordinates as $(3,4).$
Therefore, there is only one cross - street can be referred to as$ (3, 4).$
