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Byju's Answer
Standard IX
Mathematics
Postulate2
Which of the ...
Question
Which of the following is a false statement ?
A
An infinite number of lines can be drawn to pass through a given point.
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B
A unique line can be drawn to pass through two given points.
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C
Ray
→
A
B
=
Ray
→
B
A
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D
A ray has one end point.
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Solution
The correct option is
C
Ray
→
A
B
=
Ray
→
B
A
Ray
→
A
B
starts from the point A and it extends indefinitely.
Ray
→
B
A
starts from the point B and it extends indefinitely.
So, Ray
→
A
B
=
r
a
y
→
B
A
is wrong.
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2
Similar questions
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
→
A
B
=
ray
→
B
A
.
(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
A
B
→
is the same as the ray
B
A
→
.
(v) The line segment
A
B
¯
is the same as the line segment
B
A
¯
.
(vi) The line
A
B
↔
is the same as the line
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.