## Chapter 6 Coordinate Geometry Ex 6.1

**Question 1.** **How will you describe the position of a table lamp on your study table to another person?** **Solution:**

Let us consider the lamp as a point A and table as a plane.

Take any two perpendicular edges of the table, say OX and OY. Measure the distance of the lamp A from the larger edge OX, let it be 25 cm. Again, measure the distance of the lamp A from the shorter edge OY, let it be 15 cm. Therefore, the position of the lamp A to the edges OX and OY is (15, 25).

**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 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 street 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:**

(i) The street plan is shown by the following figure.

(i) There is only one cros.s-street which can be referred as (4, 3).

(ii) There is only one cross-street which can be referred as (3, 4).