Akhil walks 2 km towards East and then turns left and walks 2 km. In which direction is he with respect to his initial position ?

Options

A. North-East
B. South-West
C. South-East
D. North-West

Answer

To solve the problem step by step, we will analyze Akhil's movements and determine his final position relative to his initial position.

### Step-by-Step Solution:

1. **Initial Position**: Let's assume Akhil starts at point O (the origin).

2. **First Movement**: Akhil walks 2 km towards the East.
- From point O, moving East for 2 km, he reaches point A.

3. **Turning Left**: After reaching point A, Akhil turns left.
- When facing East, turning left means he will now be facing North.

4. **Second Movement**: Akhil then walks 2 km in the North direction.
- From point A, moving North for 2 km, he reaches point B.

5. **Final Position**: Now we need to determine Akhil's position relative to his initial position O.
- Point O is the starting point.
- Point A is 2 km East of O.
- Point B is 2 km North of point A.

6. **Direction with Respect to Initial Position**:
- Since Akhil moved 2 km East and then 2 km North, his final position B is located diagonally from point O.
- The direction from O to B is North-East.

### Conclusion:
Akhil is in the North-East direction with respect to his initial position.