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sandeep kumar

· started a discussion

· 1 Months ago

1 (Question:117117.0)

There are four lines in a plane, no two of which are parallel. The maximum number of points at which any two lines intersect are



please provide video solution for this question

durgesh gupta

· started a discussion

· 1 Months ago

1 (Question: 117117.0 )

explain it, please have a gut to provide explanation for this type questions.

Question:
There are four lines in a plane, no two of which are parallel. The maximum number of points at which any two lines intersect are :
Options:
A) four
B) five
C) six
D) seven
Solution:
Ans: (c)

Let there be 'n' lines, for maximum no. of intersections no three lines must intersect at same point, so each line must intersect at (n-1) points. For each intersection minimum two lines are required. Maximum intersection = n(n-1)/2. 

Maximum no. of intersecting points = (4*3)/2 = 6.

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