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Introduction to Curves

Which stateme...

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Which statement is true?
(a) A line segment $A B$ , when extended in both directions, is called ray $\underset{A B}{\to}$ .
(b) $Ray \underset{A B}{\to} = ray \underset{B A}{\to}$
(c) Ray $\underset{A B}{\to}$ has one end-point A.
(d) Ray $\underset{A B}{\to}$ has two end-points A and B.

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Solution

(c) Ray $\underset{A B}{\to}$ has one end-point A.

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Similar questions

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.

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. Assertion: Ray

\underset{A B}{\to}

has one end-point A.
Reason: Line segment

A B

has two end-points A and B.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Choose the false statement:
(a) Line

\overset{\leftrightarrow}{A B}

is the same as line

\overset{\leftrightarrow}{B A}

\vec{A B}

is the same as ray

\vec{B A}

(c) Line segment

\bar{A B}

is the same as teh line segment

\bar{B A}

(d) None of these

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}

.
(v) The line segment

\bar{A B}

is the same as the line segment

\bar{B A}

.
(vi) The line

\overset{\leftrightarrow}{A B}

is the same as the line

\overset{\leftrightarrow}{B A}

.
(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.
(xii) One and only one line can be drawn to pass through two given points.
(xiii) An unlimited number of lines can be drawn to pass through a given point.

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