Two friends Seema and Aditya work in the same office at Delhi. In the Christmas vacations, both decided to go to their hometowns represented by Town A and Town B respectively in the figure given below. Town A and Town B are connected by trains from the same station C (in the given figure)in Delhi.Based on the given situation, answer the following questions:
img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/MATH_041_X_SQP_E03_007_Q01.png" width="80%"gt
(i) Who will travel more distance, Seema or Aditya, to reach to their hometown?
(ii) Seema and Aditya planned to meet at a location D situated at a point D represented by the mid-point of the line joining the points represented by Town A and Town B. Find the coordinates of the point represented by the point D .
(iii) Find the area of the triangle formed by joining the points represented by A, B and C.

Explanation

Let's solve the problem step by step.

### Step 1: Determine the distances traveled by Seema and Aditya.

**Coordinates:**
- Town A (A): (1, 7)
- Town B (B): (4, 2)
- Station C (C): (-4, 4)
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