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Question 55Fi...

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Question 55

Find out the incorrect statement, if any in the following.
An angle is formed, when we have

a) Two rays with a common end point.

b) Two line segments with a common end point.

c) A ray and a line segment with a common end point.

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Solution

Angle is made by two rays or lines having a common end point, So, options (b) and (c) are incorrect.

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Question 55

Find out the incorrect statement, if any in the following.
An angle is formed, when we have

a) Two rays with a common end point.

b) Two line segments with a common end point.

c) A ray and a line segment with a common end point.

Q. Write the turth 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 one point in common.

Q. The figure formed by two rays with the same initial point is known as

(a) a ray
(b) a line
(c) an angle
(d) a line segment

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}

\underset{A B}{\to}

\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. Which statement is true?
(a) A line segment

A B

, when extended in both directions, is called ray

\underset{A B}{\to}

Ray \underset{A B}{\to} = ray \underset{B A}{\to}

\underset{A B}{\to}

has one end-point A.
(d) Ray

\underset{A B}{\to}

has two end-points A and B.

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