Question

Consider these four statements about a line that passes through two points on a plane.

Statement A: The line is on a different plane from the points.
Statement B: The line lies on only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.

Which statement is true?

Answer 1

The statement which is correct among the given statements is:

Statement C: The line is on the same plane as the points.

Explanation:

We know that when two or more points lie on the same plane( i.e. the points are coplanar ) then the line connecting these points will also lie in the same plane.

Also, there may be more than one plane which may contain a line or we may say there are multiple planes that may contain a line.

Hence, the line connecting these points does not lie in just one plane.

Hence, the correct statement is:

Statement : C