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How many lines can pass through one given point?
- a)Countless
- b)2
- c)4
- d)1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
How many lines can pass through one given point?a)Countlessb)2c)4d)1Co...
To determine the number of lines that can pass through a single given point, consider the following:
- A line is defined by two points.
- Given one point, there is no restriction on the direction or slope a line can take through this point.
- Therefore, an infinite number of lines can pass through a single point.
Thus, the correct answer is A: Countless.
Most Upvoted Answer
How many lines can pass through one given point?a)Countlessb)2c)4d)1Co...
Introduction:
In geometry, a line is a straight path that extends indefinitely in both directions. A point is a location in space that has no size or shape. When we consider a given point, we can determine how many lines can pass through it.
Explanation:
1. A single line:
If we consider a point in space, only one line can pass through it. This is because a line is defined by two points, and if we fix one point at the given point, the line can only have one orientation and direction.
2. Countless lines:
However, if we consider the point as a point on a plane, then countless lines can pass through it. This is because a plane is a two-dimensional surface that extends infinitely in all directions. If we consider any line on the plane, we can shift it parallel to itself, and it will still pass through the given point. As there are infinite parallel lines on a plane, there are countless lines that can pass through the given point.
Conclusion:
Therefore, when considering a point in space, only one line can pass through it. However, when considering a point on a plane, countless lines can pass through it. The correct answer is option 'A' - countless.
In geometry, a line is a straight path that extends indefinitely in both directions. A point is a location in space that has no size or shape. When we consider a given point, we can determine how many lines can pass through it.
Explanation:
1. A single line:
If we consider a point in space, only one line can pass through it. This is because a line is defined by two points, and if we fix one point at the given point, the line can only have one orientation and direction.
2. Countless lines:
However, if we consider the point as a point on a plane, then countless lines can pass through it. This is because a plane is a two-dimensional surface that extends infinitely in all directions. If we consider any line on the plane, we can shift it parallel to itself, and it will still pass through the given point. As there are infinite parallel lines on a plane, there are countless lines that can pass through the given point.
Conclusion:
Therefore, when considering a point in space, only one line can pass through it. However, when considering a point on a plane, countless lines can pass through it. The correct answer is option 'A' - countless.
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How many lines can pass through one given point?a)Countlessb)2c)4d)1Correct answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about How many lines can pass through one given point?a)Countlessb)2c)4d)1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many lines can pass through one given point?a)Countlessb)2c)4d)1Correct answer is option 'A'. Can you explain this answer?.
How many lines can pass through one given point?a)Countlessb)2c)4d)1Correct answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about How many lines can pass through one given point?a)Countlessb)2c)4d)1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many lines can pass through one given point?a)Countlessb)2c)4d)1Correct answer is option 'A'. Can you explain this answer?.
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