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Question

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) Two distinct lines cannot have more than one point in common.
(v) three lines are concurrent if they have a common point.
(vi) Two distinct lines can not have more than one point in common.
(vii) Two interesting lines cannot be both parallel to the same line.
(viii) open half-line is the same thing as ray.
(ix) two lines may intersect in  two points .
(x) Two lines are parallel only when they have no points in common.
(xi) two lines may intersect in two points
(xii) Two lines are parallel only when they have no point in common.


Solution

(i) False, A line segment has definite length.
(ii) False. A ray has one end point.
(iii)  False. A line has no definite length.
(iv) True
(v) False. BA and AB 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.

Mathematics
RS Agarwal
Standard IX

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