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Which of the following denote a set of points which do not lie on the same line?
$A)$ Collinear
$B)$ Non-collinear
$C)$ Concurrent
$D)$ Square

Last updated date: 17th Jul 2024
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Hint: First we have to define what the terms we need to solve the problem are.
This was a simplest problem but only we needed to understand the terms or given things like the Line, plane, and point also what is collinear and some more things, since all the Collinear points are on the straight line like a degree one or it is called the linear.

Complete step-by-step solution:
First of all, we see what is collinear, which is the set of all points in a straight line which lie on the same straight line are said or called as the collinear points, for example, take some points on the straight line like X, Y, Z and if these three points will lie on the same straight line or some another straight line hence it is called as the collinear points (the points need to be lie on only straight, if some other without straight line it is not a collinear points)
Hence option $A)$Collinear is the wrong answer as we see collinear means a set of points needs to lie on the same straight line but in the given question, they said A set of points which do not lie on the same line are called. So, option A is wrong.
Now we check option $C)$Concurrent which is also the wrong answer because it will also lie in a plane but not a straight but we need only not lie in a same straight line only and hence concurrent is higher dimensional space too will intersect some of the plane at the same straight line, thus option C is wrong
Now we check the option $D)$Square, square is four straight lines acting equal sides and four right angles as the same as the plane and hence by this we can say the square has some straight-line points lie in the plane too because it will intersect the points on right angles.
Therefore, as all other options are eliminated also the correct option is $B)$Non-collinear
Because it is the only points which the set of three points is do not commit any intersection on the lie on same straight line or same plane like if we take axes points like X, Y, Z by non-collinear points means these points will never ever lie on the same straight line
Hence option $B)$Non-collinear is correct.

Note: Since there is only difference between the collinear and non-collinear is the set is points lie on the same straight line or axes or the plane are the collinear where else the non-collinear is the opposite of it like that will never make a lie surface on same straight line.