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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?

Verified Answer :

Answer:

The statement which is correct among the given statements is:

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

Step-by-step 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

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