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CBSE Class 10 Answered

Please solve this question 
question image
Asked by vikasg13.hardware | 30 Jun, 2018, 06:46: AM
answered-by-expert Expert Answer

Consider the case given in the figure
there are 3 polygons. If we count non-overlapping then 
Total number of regions in which 10 lines divide into plane begin mathsize 16px style fraction numerator straight n open parentheses straight n plus 1 close parentheses over denominator 2 end fraction plus 1 end style
n = 10 gives us 56 of which exactly 20 are unbounded Hecne, polygons 56 - 20 = 36
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