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Standard VIII
Mathematics
Introduction to Curves
Question

How many simple closed curves are there?
83864_75ac580d5c6e4d2489574f86745aa706.png
  1. 3
  2. 2
  3. 4
  4. 5

A
2
B
3
C
4
D
5
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Solution
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Asimpleclosedcurveenclosesasingleareaanddonothaveintersectinglines.Hereineachofthefigures1,2,5,6,7asingleareaisenclosed.Butineachofthefigures3,4,8morethanoneareaareenclosed.Soeachofthefigures1,2,5,6,7isasimplecurve.Ans−1,2,5,6,7

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