Which of the following statements are true?
(i) A line segment has no definite length.
(ii) A ray has no end-point.
(iii) A line has a definite length.
(iv) A line $\overleftrightarrow{A B}$ is same as line $\overleftrightarrow{B A}$
(v) A ray $\overrightarrow{A B}$ is same as ray $\overrightarrow{B A}$.
(vi) Two distinct points always determine a unique line.
(vii) Three lines are concurrent if they have a common point.
(viii) Two distinct lines cannot have more than one point in common.
(ix) Two intersecting lines cannot be both parallel to the same line.
(x) Open half-line is the same thing as ray.
(xi) Two lines may intersect in two points.
(xii) Two lines are parallel only when they have no point in common.
(i) False. A line segment has a definite length.
(ii) False. A ray has one end-point.
(iii) False. A line has no definite length.
(iv) True
(v) False. $\overleftrightarrow{B A}$ and $\overleftrightarrow{A B}$ have different end-points.
(vi) True
(vii) True
(viii) True
(ix) True
(x) True
(xi) False. Two lines intersect at only one point.
(xii) True
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.