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Arjun starts from his home in a car and drives towards the South. He then takes a left turn and drives . After that, he drives towards the North. Next, he takes a right turn and drives , then takes another right turn and drives . Finally, he takes one more right turn and drives to reach his friend’s house. What is the shortest distance from his home now and in which direction is Arjun from his home?

  1. A
    500 m, North-East
  2. B
    800 m, South-West
  3. C
    500 m, South
  4. D
    800 m, South

Solution & Step-by-step Explanation

Let home be at .
1. Drives South
2. Left turn (East)
3. Drives North
4. Right turn (East)
5. Right turn (South)
6. Right turn (West)
His final coordinates are . Distance from is and direction is South.

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Try it yourself before checking the explanation above.

Arjun starts from his home in a car and drives towards the South. He then takes a left turn and drives . After that, he drives towards the North. Next, he takes a right turn and drives , then takes another right turn and drives . Finally, he takes one more right turn and drives to reach his friend’s house. What is the shortest distance from his home now and in which direction is Arjun from his home?
A
500 m, North-East
B
800 m, South-West
C
500 m, South
D
800 m, South

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