Statement 1: Two rays originating from two different points will trace a line if they head towards each other.

Statement 2: Two rays originating from a single point will trace a line if they travel in opposite directions.

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Solution

Lets take two points A and B and rays moving towards each other as shown. Clearly, the path traced extends in both the directions, so it is a line.

Secondly, if two rays originate from the same point say 'O' and travel in opposite directions then they too trace a path extending to infinity in both directions, hence they trace a line as shown.

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Similar questions

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.

\vec{A B}

\vec{B A}

\overset{\leftrightarrow}{A B}

\overset{\leftrightarrow}{B A}

\underset{A B}{\to}

\underset{B A}{\to}

Statement 1: Two rays originating from two different points will trace a line if they head towards each other.

Statement 2: Two rays originating from a single point will trace a line if they travel in opposite directions.

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