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Which of the ...

Question

Which of the following has two end points?
(a) A line segment
(b) A ray
(c) A line
(d) none of these

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Solution

(a) A line segment
A line segment has two end points and both of them are fixed. Thus, a line segment has a fixed length.

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Q. Which of the following is a false statement?
(a) An infinite number of lines can be drawn through a given point.
(b) A unique line can be drawn through two given points.
(c) Ray

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

.
(d) A ray has one end-point.

Q. Write 'T' for true and 'F' for false in case of each of the following statements:
(i) Every point has a size.
(ii) A line segment has no length.
(iii) Every ray has a finite length.
(iv) The ray

\vec{A B}

is the same as the ray

\vec{B A}

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(v) The line segment

\bar{A B}

is the same as the line segment

\bar{B A}

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(vi) The line

\overset{\leftrightarrow}{A B}

is the same as the line

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(vii) Two points A and B in a plane determine a unique line segment.
(viii) Two intersecting lines intersect at a point.
(ix) Two intersecting planes intersect at a point.
(x) If points A, B, C are collinear and points C, D, E are collineaer then the pints A,B, C, D, E are collinear.
(xi) One and only one ray can be drawn with a given end point.
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(xiii) An unlimited number of lines can be drawn to pass through a given 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.

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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}

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Q. Fill in the blanks:
(i) A line segment has a .............. length.
(ii) A ray has .............. end point.
(iii) A line has .............. end point.
(iv) A ray has no .............. length.
(v) A line .............. be drawn on a paper.

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