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Question: If 12 distinct points are placed on the circumference of a circle and all the chords connecting these points are drawn. What is the largest number of points of intersection for these chords?

Answer: (12*0)+(12*1)+(12*2)+(12*3)+(12*4)+(12*5)+(12*6)+(12*7)+(12*8)+(12*9)+(12*10)+(12*11)
0+12+24+36+48+60+72+84+96+108+120+132=792

worst case largest number of points of intersection is 792 intersections.



Category Logical & Aptitude Interview Questions & Answers - Exam Mode / Learning Mode
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Question: If 12 distinct points are placed on the circumference of a circle and all the chords connecting these points are drawn. What is the largest number of points of intersection for these chords?

Answer:

(12*0)+(12*1)+(12*2)+(12*3)+(12*4)+(12*5)+(12*6)+(12*7)+(12*8)+(12*9)+(12*10)+(12*11)
0+12+24+36+48+60+72+84+96+108+120+132=792

worst case largest number of points of intersection is 792 intersections. Source: CoolInterview.com

Answered by: Prakash | Date: 10/8/2007 | Contact Prakash Contact Prakash

y->x
x=sqrt(y)+3

sqrt(25)+3=8

Answer is 8 Source: CoolInterview.com

Answered by: Mahipal | Date: 2/6/2008 | Contact Mahipal Contact Mahipal

using combinations we get no. of lines formed by intersection of 12 distincy pts =12*11/2=66

2 lines intersect to form a pt therefore total intersections =66*65/2=2145 Source: CoolInterview.com

Answered by: aakash | Date: 4/22/2008 | Contact aakash Contact aakash

So we r starting with
4 points no of intersection-1
5 " " -3
6 " " " -6
continuing and by induction we have 28 intersection with 12 points Source: CoolInterview.com

Answered by: Nida Sami | Date: 8/21/2008 | Contact Nida Sami Contact Nida Sami

2 points make a line so lines are = 12C2 = 66

Now 2 line makes an intersection point so 66 lines will make = 66C2 = 66 x 65 / 2 = 2145 intersection points... Source: CoolInterview.com

Answered by: dhruv | Date: 8/23/2010 | Contact dhruv Contact dhruv


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