Question

"Question 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 about 5 streets in each direction. Using 1 cm = 100 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).

Class 9 - Math - Coordinate Geometry Page 53"

Answer 1

Here 1cm= 200m

Let EW and NS be two main roads such that EW is along the east west direction & road NS is along the north south direction. Then the angle between the two roads is 90°, i.e, the road EW & NS are perpendicular to each other.

Let us consider E W along x-axis and NS along y axis & let the centre of the city is 0.
Here the distance between two consecutive Streets in same direction is 200m and all the streets are parallel to the main roads.

The street plan is shown in the attachment.

i) Because of the two reference lines that we have used for locating them there is only one cross street which can be referred to as(4,3).
ii)
Similarly, there is only one cross street which can be referred to as (3,4)

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Hope this will help you....

Answer 2

Answer:

(i) There is only one Street which can be referred to as (4,3)

(ii) There is only one Street which can be referred to as (3,4)

I'm sure this will help you.

Kindly open the image fully.

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