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Q.

Veena walked 5m towards north, took a left tum and walked 7 m. She took a left tum again and walked 8m before taking a left tum and walking 7 m. She then took a final left tum and walked 1 m before stopping. How far is Veena from the starting point ?

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a

3 m

b

6 m

c

4 m

d

2 m

answer is D.

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Detailed Solution

Use a coordinate system with the starting point at the origin (0, 0), North as +y direction and East as +x direction. A left turn changes the facing direction in the order: North → West → South → East → North → …

Step-by-step Tracking

StepFacingMoveNew Coordinates (x, y)
StartNorth(0, 0)
1NorthWalk 5 m North(0, 5)
TurnLeft: North → West(0, 5)
2WestWalk 7 m West(−7, 5)
TurnLeft: West → South(−7, 5)
3SouthWalk 8 m South(−7, −3)
TurnLeft: South → East(−7, −3)
4EastWalk 7 m East(0, −3)
TurnLeft: East → North(0, −3)
5 (final)NorthWalk 1 m North(0, −2)

Distance from Start

Final position relative to start: (0, −2).
Straight-line distance from origin:

d = √(02 + (−2)2) = √4 = 2 m.

Answer

2 m (Option c).

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