A man leaves from his home. He first walks 40 meters in north-west direction and then 40 meters in south-west direction. Next he walks 40 meters in south-east direction. Finally, he turns towards his house. In which direction is he moving?

North-east

The correct answer is Option (1) → North-east

Step-by-Step Movement

1. Starting Point: Let the man's home be at point O (the origin).
2. First Move: He walks 40m in the North-West direction. He is now at point A.
3. Second Move: From point A, he walks 40m in the South-West direction. He is now at point B.
4. Third Move: From point B, he walks 40m in the South-East direction. He is now at point C.

Analyzing the Final Position

Since all segments of his walk are of equal length (40m) and he has moved in three directions that form three sides of a square (tilted at 45 degrees), his path forms a partial rhombus or square shape on the coordinate plane.

• His home (Point O) is located to the North-East of his current position (Point C).
• Therefore, to return to his house, he must move in the North-East direction.