0 votes 0 votes Ans: 211 Combinatory combinatory + – SKMAKM asked Sep 19, 2022 SKMAKM 489 views answer comment Share Follow See 1 comment See all 1 1 comment reply Abhrajyoti00 commented Sep 21, 2022 reply Follow Share @Amit Mehta If you carefully notice, the first straight line $(L=1)$ divides the plane into $2$ regions. Again, the 2nd line intersects $1$ line, creating $2$ regions. The 3rd creates $3$ regions. This question basically asks the number of regions that lines divide a plane into. It is given by n The proper derivation is provided here: Number of Regions N Lines Divide Plane (cut-the-knot.org) 1 votes 1 votes Please log in or register to add a comment.
Best answer 1 votes 1 votes “n straight lines separate the plane such that no 2 lines are parallel and no 3 lines pass through a common point” $number\ of\ planes=\frac{\left ( n^{2} +n+2\right )}{2}$ $n=20$ $=\frac{\left ( 20^{2}+20+2 \right )}{2}$ $=211$ afroze answered Sep 19, 2022 selected Sep 19, 2022 by SKMAKM afroze comment Share Follow See all 2 Comments See all 2 2 Comments reply SKMAKM commented Sep 19, 2022 reply Follow Share Bro how you derived the formula can you explain 0 votes 0 votes afroze commented Sep 19, 2022 reply Follow Share no, I didn't but you may check It's from Rosen 1 votes 1 votes Please log in or register to add a comment.