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Question

Write the truth value (T/F) of each of the following statements :

(i) Two lines intersect in a point.

(ii) Two lines may intersect in two points.

(iii) A segment has no length.

(iv) Two distinct points always determine a line.

(v) Every ray has a finite length.

(vi) A ray has one end-point only.

(vii) A segment has one end-point only.

(viii) The ray AB is same as ray BA.

(ix) Only a single line may pass through a given point.

(x) Two lines are coincident if they have only onepoint in common.

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Solution

(i) False : As two lines do not intersect also any a point.

(ii) False : Two lines intersect at the most one point.

(iii) False : A line segment has definitely length.

(iv) True.

(v) False : Every ray has no definite length.

(vi) True.

(vii) False : A segment has two end point.

(viii) False : Rays AB and BA are two different rays.

(ix) False : Through a given point, infinitely many lines can pass.

(x) False : Two lines are coincident of each and every points coincide each other.

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