Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Rohit starts from Point X and walks 8 km towards North. He then takes a left turn, walks 5 km, turns left and walks 8 km. He then takes a right turn and walks 3 km. How far and in which direction is he from Point X?
8 km West
8 km East
7 km West
7 km East
8 km West
Track Cartesian coordinates: North/South as Y-axis and East/West as X-axis. Net X displacement is (Left movement - Right movement) and Net Y displacement is (North movement - South movement).
Track Cartesian coordinates: North/South as Y-axis and East/West as X-axis. Net X displacement is (Left movement - Right movement) and Net Y displacement is (North movement - South movement).
Establish the starting point and initial moves
Starting at origin (0,0): Move North 8 km: (0, 8). Then turn left (West) and move 5 km: (-5, 8).
Track subsequent turns
From (-5, 8), turn left (South) and move 8 km: (-5, 8-8) = (-5, 0). Then turn right (West) and move 3 km: (-5-3, 0) = (-8, 0).
Calculate final displacement
The final coordinate is (-8, 0). The value -8 indicates 8 km West on the X-axis from the origin (0,0).
B is wrong because the net displacement is 8 km West, not East. C is wrong because the total distance moved West is 5+3=8 km, not 7 km. D is wrong because the direction is West, not East, and the distance is 8 km, not 7 km.
A is correct because the net displacement calculated from the starting Point X using coordinate geometry is 8 units to the West.
When tracking long direction problems, always maintain a simple (+, -) coordinate system on a rough scratch pad to avoid confusion during successive turns.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants