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A distance of 1 unit on the map of my town represents an actual distance of 1 km. On the map, my house is located at (–1, 3). From my house, I went to a cafe located at (5, 3). After gulping down a chocolate shake there, I went to my friend Shekhar’s house. His house is located at (5, 0). We then went to a movie theatre to watch a movie. If the movie theatre is located at the origin, then what is the total distance that I travelled?

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10 Km

12 Km

16 Km

14 Km

answer is C.

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Detailed Solution

It is given that the movie theater is located at the origin (0, 0).

Then, the coordinates (–1, 3), (5, 3), and (5, 0) on the map can be located as

Question Image

It is given that a distance of 1 unit on the map represents an actual distance of 1 km.

From the map, it is clearly observed that the total distance traveled is (1 + 5 + 3 + 5) km = 14 km.

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