What is the minimum number of regions we can divide a circle into by n straight lines if all of them intersect inside the circle?
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If all of them intersect outside the circle? If p intersect inside the circle and n-p intersect outside the circle? Is the minimum number of regions achieved if the lines never intersect? Why? All lines cross the circle and none of them overlap
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Answer:
Minimum? If they intersect inside the circle, the minimum is 2. All the lines can overlap each other. So, they will just split the circle If they intersect outside the circle or never intersect, the minimum is 1. You didn't say anything about the lines going through the circle. All of them can be outside the circle
Jayesh Lalwani at Quora Visit the source
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