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Grade 12Algebra

what is the total no of regions in which n coplaner lines can divide the plane if it is known that no two of the are parell and no three of them are concurrent. please answer fastly.

Profile image of DEEPAK KAUSHIK
13 Years agoGrade 12
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1 Answer

Profile image of sudhir pal
12 Years ago
non coplanar lines divide divides the plane in a sequence that is equivalent to second order A.P(sequence whose difference is A.P)
Tn =n lines divide plane in Tn parts ( total no. of regions)
n = no of lines
2Tn = n2 + n+2 [ second order A.P(sequence whose difference is A.P)]


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Sudhir,
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IIT Delhi

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