Question

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

Answer 1

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

Step-by-step explanation: Let the line is passing through two points on a given plane. Then,  this is the line joining the two points and so all the points lying on this line must also lie on the plane. This clearly tells that the line completely lies on the same plane as the points.

Thus, the correct option is Statement C. The line is on the same plane as the points.

Answer 2

Answer with explanation:

It is given that ,line passes through two points on a plane.

Since a line contain infinite number of points,and A line has no starting as well as end points ,so it will be a false statement that , it passes through a single plane.

There are infinite points on the line,infinity of points lie on that plane where there are two points,and infinite number of points lie on another plane,as line has infinite length ,the reason being that between two real numbers there are infinite number of real numbers.

Option A,B and D are incorrect statements about a line that passes through two points on a plane. .

But , if you will look at Statement D: As the line has infinite number of points on it,so the line is on the same plane as the points , is correct Statement.