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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Kanika starts from point P and walks for 2 m towards the west. She takes a left turn and walks for 3 m. Then she takes a left turn again and walks for 2 m. Then she takes a right turn and walks for 2 m. Once more she takes a right turn and walks for 7 m. Then she takes a right turn and walks for 5 m and stops at point Q. Towards which direction should she walk in order to reach point P again? (All turns are 90-degree turns only unless specified.)
South
North
East
West
East
Quick Trick: Track net displacements along X (East/West) and Y (North/South) axes to find point Q relative to point P, then reverse the vector to find the direction back to P.
Track net displacements along X (East/West) and Y (North/South) axes to find point Q relative to point P, then reverse the vector to find the direction back to P.
Coordinate System Mapping
Let Point P be the origin (0, 0). East is +X, West is -X, North is +Y, South is -Y.
Step-by-Step Movement Tracking
Final Relative Position & Direction Calculation
Point Q is at coordinates (-7, 0), which is 7 m West of Point P (0, 0). Therefore, to walk from Point Q back to Point P, Kanika must move East.
A: South moves her to (-7, -Y), further away from P. B: North moves her to (-7, +Y), missing P. D: West moves her to (-14, 0), moving opposite to P.
C is correct because point Q lies 7 m West of point P, so to return to point P from point Q, she must walk in the East direction.
When asked 'in which direction should she walk to reach starting point again?', find the direction of the end point relative to the start, then reverse it (e.g., if end is West of start, return direction is East).