Starting from a point 'A', Raghav walked 40m towards North. Then he took a right turn and walked 60 m straight. Then he took a left turn and walked 40m straight to reach a point 'B'. The shortest distance between point 'A' and 'B' is :

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  1. 100 m
  2. 80 m
  3. 140 m
  4. 120 m

Answer (Detailed Solution Below)

Option 1 : 100 m
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Given, Starting from a point 'A', Raghav walked 40m towards North. Then he took a right turn and walked 60 m straight. Then he took a left turn and walked 40m straight to reach a point 'B'.

qImage682c6664cfb347ddc01e95e3IMG -1417     04-06-25      shilpa verma 42

The shortest distance between A and B is the hypotenuse of a right-angled triangle, where the base is 60m and the perpendicular is 40m + 40m = 80m.

Using the Pythagorean theorem:

Distance = √(602 + 802)

Distance = √(3600 + 6400)

Distance = √10000 = 100m

Therefore, the shortest distance between point A and B is 100m.

Hence, the correct answer is "Option 1".

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