(i)Not necessarily true.There will be a line connecting a pair of points such that two points lie on one side of the line and one point on the other.
(ii)There will be a line connecting a pair of points such that two points lie on one side of the line and one point on the other.
But It is not a always case.because There can be three points that lie on a straight line
(iii) There will always be a pair of points which are at distance at most √2 from each other.
√2 is the case when the point in middle .But as there are 1 extra point , the
max among minimum distance will must be less than √2
for 5th point min distance among a pair of vertices must be less than or equal to 1
So, only (iii) is true
Ans will be (C)