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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.

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.

Grade:12

1 Answers

sudhir pal
askIITians Faculty 26 Points
7 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)]


Thanks & Regards
Sudhir,
askIITians Faculty
Qualification.
IIT Delhi

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