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Two points in...

Question

Two points in a plane determine
(a) exactly one line segment
(b) exactly two line segments
(c) an infinite number of line segments
(d) none of these

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Solution

(a) exactly one line segment

Two points in a plane determine exactly one line segment with those two points as its end points.

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Similar questions

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.

Q. Fill in the blanks
(a) Concurrent lines ...... through a given point.
(b) Two distinct ....... in a plane cannot have more than one point in common.
(c) Two distinct points in a plane determine a ........ line.
(d) A line segment has .......... end-points.

The locus of centers of all circles passing through two given points A and B is ______.

Any line segment which touches a circle at exactly one point is called the __ to the circle at that point.

Q. Fill in the blanks:

(i) A part of a line with two end-points is called is a........
(ii) segment AB is .......segment BA.
(iii) The length of a line segment is the ........distance between two end points.
(iv) Two segments are concurrent only if they have.......
(v) Two segments of the same length are said to be.......

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