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Maths True False[1 Marks ]

Introduction To Euclid’s Geometry · Bihar Board (BSEB) STD 9 (BSEB - English Medium). 10 questions.

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True False[1 Marks ]

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10 questions · timed · auto-graded

Question 11 Mark
Write the truth value $(T/F)$ of the following statements: A segment has one end-point only.
Answer
 A line segment is a part of line defined by two end points. So the given statement is false as a line segment has two end points.
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Question 21 Mark
Write the truth value $(T/F)$ of the following statements: Every ray has a finite length.
Answer
 A ray is defined as a part of the line with one end point, where the other end can be stretched indefinitely. Therefore, a ray cannot have a finite length
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Question 31 Mark
Write the truth value $(T/F)$ of the following statements: Only a single line may pass through a given point.
Answer
 The given statement is false as infinite number of lines can pass through a given point.
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Question 41 Mark
Write the truth value $(T/F)$ of the following statements: A segment has no length.
Answer
 A line segment is a part of line defined by two end points, so it is always of a definite length. Hence, the given statement is false.
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Question 51 Mark
Write the truth value $(T/F)$ of the following statements: The ray $AB$ is same as ray $BA.$
Answer
While denoting a ray, the first letter denotes the end point and the second one denotes the end which can be extended. So, for ray $AB, A$ is the end point and $B$ is the end which can be stretched while for ray $BA, B$ is the end point and $A$ the end which can be stretched. Therefore, ray $AB$ is not the same as ray $BA.$
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Question 61 Mark
Write the truth value $(T/F) $ of the following statements: Two lines are coincident if they have only one point in common.
Answer
Two lines are said to be coincident if they lie exactly on top of each other, which means that they have all the points in common. So the given statement is false.
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Question 71 Mark
Write the truth value $(T/F)$ of the following statements:
A ray has one end-point only.
Answer
The given statement is true as a ray is defined as a part of the line with one end point, where the other end can be stretched indefinitely
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Question 81 Mark
Write the truth value $(T/F)$ of the following statements: Two lines may intersect in two points.
Answer
The given statement is false, as there is only one point common between two intersecting lines. So, two lines cannot intersect at two points.
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Question 91 Mark
Write the truth value $(T/F)$ of the following statements: Two lines intersect in a point.
Answer
The given statement is false, as it is not necessary that the two lines always intersect. In the case of parallel lines, the two lines never intersect or there is no common point between them.
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Question 101 Mark
Write the truth value $(T/F)$ of the following statements: Two distinct points always determine a line.
Answer
The given statement is true as a unique line can be determined by minimum of two distinct points.
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