Q.

Shown below is a map of Giri’s neighbourhood. Giri did a survey of his neighbourhood and collected the following information

  • The hotel, mall and the main gate of the garden lie in a straight line.
  • The distance between the hotel and the mall is half of the distance between the mall and the main gate of the garden.
  • The bus stand is exactly midway between the main gate of the garden and the fire station.
  • The mall, bus stand and the water tank lie in a straight line.

Based on the above information, answer the following questions:

 

(iii) (a) What is the shortest distance between the water tank and the school

1 13 units  
2 15 units  
3 11 units  
4 10 units  

Ans.

(1)

Coordinates of water tank and school are: W(10,9)andS22,14)

Shortest distance between them: WS=(22-10)2+(14-9)2=144+25=169=13 units