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sir a line segment has infinite number of points and the length of each point is zero. so the length of the line segment should be undefined but practically it does not happen each line segment has some finite length. please explain.i will be obligue to you.

sir a line segment has infinite number of points and the length of each point is zero. so the length of the line segment should be undefined but practically it does not happen each line segment has some finite length. please explain.i will be obligue to you.

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2 Answers

Priyansh Bajaj AskiitiansExpert-IITD
30 Points
11 years ago

Dear Nehal,

A line segment does have infinite number of points but there is not anything like 'length of a point'. A point is a 0-dimensional object. It does not have volume, area, length or any other higher dimensional analogue. Therefore, 'length of a point' does not exist. However, 'distance between two points' exist and therefore, line segment has some finite length (which is equal to distance between two end points).

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Priyansh Bajaj

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

A point is a 0-dimensional object. It does not have volume, area, length or any other higher dimensional analogue. Therefore, 'length of a point' does not exist. However, 'distance between two points' exist and therefore, line segment has some finite length (which is equal to distance between two end points).

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All the best.

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Sagar Singh

B.Tech, IIT Delhi

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