Question

Select the statement that explains the error in the given statement.

Three points have to be collinear.

A .Three points have to be noncollinear.
B. Three points have to lie on an infinite number of planes. They do not have to be collinear.
C. Four points have to be collinear. Three points may be collinear or noncollinear. D. The three points could be the vertices of a triangle.

Answer 1

D. The three points could be the vertices of a triangle.

Explanation:

• collinear points : points are said to be collinear if they lie on the same line.

• so, any three given points need not be collinear because, they can even be the vertices of a triangle.

• this is explained in the option D so, it is correct.

• option A is wrong because, those three points can be collinear also i.e if we put three points on a line, then they will be collinear.

• option B is wrong because, it is saying that they do not have to be collinear. but the fact is, they can be collinear.

• option C is wrong because, four points also need not be collinear. they can be vertices of a square!