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8. Given a collection of points P in the plane , a 1-set is
a point in P that can be separated from the rest by a line,
.i.e the point lies on one side of the line while the others
lie on the other side. The number of 1-sets of P is denoted
by n1(P). The minimum value of n1(P) over all configurations
P of 5 points in the plane in general position (.i.e no
three points in P lie on a line) is
a) 3 b) 5 c) 2
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Answer / nitin
If we have 10 points then maximum possibilities = 10
and minimum = 3
similarly for 5 points
Max = 5, Min = 3
for 19
max= 19 Min = 3
Detail solution by site admin at is below
http://www.m4maths.com/448-given-a-collection-of-points-P-in-a-plane-a-1-set-is-a-point-in-P-that-can-be-separated.html
| Is This Answer Correct ? | 16 Yes | 3 No |
Answer / nikhil
answer is 5
if the question has n o. of points,then answer must be n lines only.
| Is This Answer Correct ? | 23 Yes | 13 No |
Answer / lion251
The answer is 3, for all P >= 3.
For all P >= 3, there exists a configuration where 3 points form a triangle, and all the other points lie within the triangle, and are thus protected from being 'singled out' from the rest by a line. In this configuration, only the three corner points can be singled out from the rest by a line.
2 points can only 'protect' the rest is all points are on a single line, but this case is excluded.
The answer is thus 3, for all P>=3
| Is This Answer Correct ? | 10 Yes | 4 No |
Answer / mayank
Answer:-
X=A*D+8-----------------(1)
X=B*3D+21--------------(2)
From equation (1) and (2)
D(A+3B)=13*1--------------------------------(3)
D!=1 that’s why D=13 and A+3B=1
Then only condition satisfy is when B=0 A=1
So X=21 and from eq(3) we get D=13
So
2x/3D which is 42/39 leave remainder 3 Answer
| Is This Answer Correct ? | 23 Yes | 20 No |
Answer / arun mehta
Answer:-
X=A*D+8-----------------(1)
X=B*3D+21--------------(2)
From equation (1) and (2)
D(A+3B)=13*1--------------------------------(3)
D!=1 that’s why D=13 and A+3B=1
Then only condition satisfy is when B=0 A=1
So X=21 and from eq(3) we get D=13
So
2x/3D which is 42/39 leave remainder 3 Answer
| Is This Answer Correct ? | 2 Yes | 7 No |
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