10 points are chosen on a plane. Every possible pair of
points is joined by a line and the midpoint of the line is
marked with red colour. What is the minimum possible number
points on the plane which have been marked with red colour?
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In a typical motor cycle rally, every motor cycle has to reach a speed of 20 m/min within a minute and it increase its speed by 20 m/min and the sum was 1600 m/min. Four minutes later, a new motor cyclist started running in the race. After another two minutes, the motor cyclist with the speed of 400 m/min stopped due to injuries and again two new motor cyclist started running in the race. What is the current average speed?
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Q1. 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
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