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Standard VII

Mathematics

Line

Statement 1: ...

Question

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.

Only statement 1 is correct.

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Only statement 2 is correct.

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Both the statements are correct.

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None of the statements are correct.

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Solution

The correct option is C
Both the statements are correct.

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.

Q. The distance between two places

A

and

B

on road is

70

kilometers. A car starts from

A

and the other from

B

. If they travel in the same direction, they will meet after

7

hours. If they travel towards each other they will meet after

1

hour, then find their speeds.

Q. Write 'T' for true and 'F' for false for each of the statements given below:
(i) If two line segments do not intersect, they are parallel.
(ii) If two rays do not intersect, they are parallel.
(iii) If two lines do not meet even when produced, they are called parallel lines.
(iv) Two parallel lines are everywhere the same distance apart.
(v) A ray has a finite length.
(vi) Ray

\vec{A B}

is the same as ray

\vec{B A}

Q. 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

\overset{\leftrightarrow}{A B}

is same as line

\overset{\leftrightarrow}{B A}

.
(v) A ray

\underset{A B}{\to}

is same as ray

\underset{B A}{\to}

.
(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.

Q. Points

A

and

B

are

70 k m

. apart on highway. A car starts from

A

and another car starts from

B

simultaneously. If they travel in the same direction, they meet in

7

hours, but if they travel towards each other, they meet in one hour. Find the speed of the two cars.

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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.

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.