Question

Which are the given statements are true?

• A. Only one line can pass through a given point.
• B. Only one line can pass through two given points.
• C. Two parallel lines meet each other at some point.
• D. Point E lies on the boundary of $\angle AEB$

Answer 1

Answer: (B), (D)

The correct options are
B Only one line can pass through two given points.
D Point E lies on the boundary of $\angle AEB$

Infinite number of lines can pass through a given point as shown in the figure.

Hence, the statement that only one line can pass through a given point is false.

Only one line can pass through two given points.
Hence, the statement only one line can pass through two given points is true.

Parallel lines are two lines that are always the same distance apart and never meet.

In the above figure, line l is parallel to line m.
Hence, the statement that two parallel lines meet each other at some point is false.

Points A, E and B lie on the boundary of $\angle AEB$.

Hence, the statement that point E lies on the boundary of $\angle AEB$ is true.