Question

What are collinear points?
${\text{A}}{\text{. points on same plane }} \\\ {\text{B}}{\text{. points on different plane}} \\\ {\text{C}}{\text{. points lying on same line}} \\\ {\text{D}}{\text{. three or more points lying on same line}} \\\$

Answer 1

Hint:- To answer this question first we have to understand the terms like point, plane, line , and also understanding of collinear point then we can answer the question.
Hence first we have to understand the point.

Complete step-by-step solution -
Point:- A point is an exact position or location on a plane surface. It is important to understand that a point is not a thing but a place. We indicate the position of a point by placing a dot with a pencil.

Line:- A line is defined as a collection of points that extends infinitely in two directions. It has one dimension.

Plane:- In mathematics a plane is a flat two dimensional surface that extends infinitely far. A plane is the two dimensional analogue of a point, a line and three dimensional space.

Collinear points:- In geometry collinearity of a set of points is the property of their lying on a single line. A set of points with this property is said to be collinear. In greater generality the term has been used for aligned objects, that is things being in a line or in a row.
That means three or more points are said to be collinear if they lie on a single straight line. Two points are trivially collinear since two points determine a line.
After understanding all these terms we can answer the question that three or more points lying on the same line are called collinear points.
Hence option D is the correct option.

Note:- Whenever we get this type of question the key concept of solving is first we have to understand all the terms used in question. Then we have to understand why minimum three points are needed because if we take two points then it always forms a straight line then how can we check collinearity so to check collinearity at least three points are needed.