Question

Which of the following statements best describes the relationship between a line and a point in a plane? exactly one plane contains a given line and a point on the line. exactly one plane contains a given line and a point not on the line. exactly one plane contains a given line not in the plane and a point not on the line. exactly one plane contains a given line not in the plane and a point on the line.

Answer 1

Answer: (b) exactly one plane contains a given line and a point not on the line.

Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-

(i) The intersection of two lines determines a point,

(ii) Two parallel lines give result to a plane,

(iii) A line and a point not on the line determines a plane, etc...

Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.

Hence, the correct option is (b).

Answer 2

The correct answer of the given question above about the relationship between a line and a point in a plane is the second option. The statement that best describes the relationship between a line and a point in a plane is that, there is exactly one plane containing a given line and a point not on the line. Hope this answer helps.