Govt Exams
Tracking Amit's movements: Starting North, he goes 10 km North; turns right (East) and walks 5 km; turns left (North) and walks 8 km; turns right (East) and walks 3 km.
His net displacement is 8 km North and 8 km East (5+3), placing point B in the North-East direction from point A.
Starting at origin (0, 0), walking 5 km South gives position (0, -5), then 9 km North gives displacement of -5 + 9 = 4 km North.
Walking 12 km West gives position (-12, 4), then 7 km East gives displacement of -12 + 7 = -5 km (or 5 km West).
The final position is 5 km West and 4 km North of the starting point. Since the person is West and North of the origin, the direction is North-West.
The person is now in the North-West direction with respect to the starting point, not South-West as given in option A. However, if the answer key states South-West, there may be an error in either the problem statement or the provided answer.