3 points in a plane are : 1.Always collinear 2.Always non-collinear 3.May or may not be collinear 4.none of these
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Answer:
Option 3. May or may not be collinear.
Step-by-step explanation:
There are infinite number of points in a 2 dimensional plane. There are also infinite number of straight lines in a plane. A straight line can be formed with any two points. So two points are always collinear, we can say.
Now we can have another (third) point either lying on the straight line joined by the first two points chosen, or outside on the left side or right side of that line. Thus the third point is in the plane but not on the line.
So it is clear that any set of three points in a plane can be collinear or need not be collinear.
So option 3 is the answer.
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