15. Find the answer to the situation

1. Ram goes on a bicycle ride to the beach, to the gym and to the mountain-top everyday. The vertices of the beach and the mountain-top are \((\)8, 14\()\) and \((\)38, 36\()\) respectively. If the gym lies exactly in between the beach and the mountain-top, find the point where the gym is placed.

 

The gym is at the point \((\), \()\).

 

 

2. Shaanvi has the habit of arranging her dresses in order of their colour. She always places green-coloured dresses and blue-coloured dresses at the ends. She puts white dresses in the middle of both. If green-coloured dresses are at \((\)18, 14\()\) and blue-coloured dresses are at \((\)24, 30\()\), find at what point white dresses are being kept.

 

White dresses are kept at \((\), \()\).

 

 

3. Sudhan decides to rent a house belonging to a chef. An actor and a politician lives on either side of the house. If the vertices of the actor's house and the politician's house are \((\)10, 2\()\) and \((\)24, 32\()\) respectively, find the vertex of the chef's house.

 

The vertex of the chef's house is \((\), \()\).

 

[Note: Assume that in all the situations the vertex of the places has been compared with coordinate plane]