There are 5 lines in a plane. Difference between maximum and minimum number of intersecting points.

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14 Dec 2011 lines

There are 5 lines in a plane. Difference between maximum and minimum number of intersecting points. No two lines are parallel

OPtion

1) 2
2) 3
3) 4
4) 5
5) 8
6) 9
7) 10
8) 15
9) 19
10) none of these

Solution

Maximum no. of intersecting points = 5*4/2 = 10
minimum no. of intersecting points = 1

Correct Option: 6 Best Solution (10)

Dr.Dipin Singh   12 years AGO

5 lines can intersect at max 10 points ( in star arrangement) and min 1 point .

so diff = 10-1=9

Like? Yes (10) | No   

Dr. Divya   12 years AGO

For n non parallel lines,
max no of intersection points = n*(n-1)/2

Here n=5
max points of intersection = 5*4/2=10

min pts = 1
diff = 10-1=9

Like? Yes (8) | No   

sivakumar   12 years AGO

maximum number of intersecting points is given by n(n-1)/2; for 5 lines it is 5*4/2=10; minimum intersecting point is 1; all lines going through the same point. difference is 9;

Like? Yes (7) | No (1)  

Shikha   12 years AGO

Difference between maximum (10) and minimum number of intersecting points (1) = 9.

Like? Yes (5) | No (1)  

Shiv Kumar   12 years AGO

The maximum number of points n chords can intersect each other = n(n -1)/2. and minimum will be 1. So the difference is 9

Like? Yes (4) | No (1)  

Bawa   12 years AGO

10-1=9

Like? Yes (4) | No (1)  

Anish Philip   12 years AGO

max no of points = 4+3+2+1 = 10
every line intersect every other line at different points.
mini no of points = 1
diff = 10 - 1 = 9

Like? Yes (2) | No   

GAURAV KUMAR SRIVASTAV   12 years AGO

for minimum intersection all lines intersect at single point,
so minimum point of intersection is 1.
for maximum number of intersection
1st line cuts the all the 4 lines= 4 times
2nd line cuts the all the 4 lines= 4 times but 1 common with 1st one=4-1=3 times
so on 3rd line unique intersection=2
4rth =1 times & for 5th no unique intersection
so maximum no of intersection=4+3+2+1=10
diffrence=10-1=9

Like? Yes (3) | No (1)  

Sudhish Surendran   12 years AGO

maximum no of intersection = 10
minimum no of intersection = 1(i.e. all the line starting from a point)
so, max-min = 10-1 = 9
so option 6 is correct

Like? Yes (1) | No   

Balakumaran N.A   12 years AGO

When the two lines are not parallel, they may intersect in a unique point. so, Minimum Intersecting point 1. The maximum will be 10.
difference is 9.

Like? Yes (1) | No