**Section Formula CBSE NCERT Solutions Chapter 7 Exercise 7.2 Question 3**

**3.** To conduct sports day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD. Niharika runs of the distance AD on the 2nd line and posts a green flag. Preet runs of the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

**Solution:**

**Niharika** runs of the distance AD on the 2nd line and posts a green flag. There are 100 flower pots. It means, she stops at 25th flower pot. Therefore, the coordinates of point where she stops are **(2 m, 25 m)**.

**Preet** runs of the distance AD on the eighth line and posts a red flag. There are 100 flower pots. It means, she stops at 20th flower pot. Therefore, the coordinates of point where she stops are** (8 m, 20 m)**.

Using **Distance Formula** to find distance between points **(2 m, 25 m)** and **(8 m, 20 m)**, we get

**Rashmi posts a blue flag exactly halfway the line segment joining the two flags. Using section formula to find the coordinates of this point, we get**

**Therefore, coordinates of point, where Rashmi posts her flag are (5, 45/2).**

**It means she posts her flag in 5th line after covering 45/2 = 22.5 m of distance.**