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A line is produced to meet another line at a point O. Which one of the following is correct about the point O.
- a)Point O and produced line lie on the same plane
- b)Points O is not an intersecting point
- c)Both lines may be parallel
- d)All the above
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A line is produced to meet another line at a point O. Which one of the...
Explanation:
When a line is produced to meet another line at a point O, the following can be observed:
Point O and produced line lie on the same plane:
When a line is produced, it means that it is extended beyond its original length. So, if a line is produced to meet another line at a point O, it means that the two lines are in the same plane. This is because the extension of the line in one direction does not change the orientation of the plane in which the line lies. Therefore, the point O and produced line lie on the same plane.
Point O is not an intersecting point:
When two lines intersect, they meet at a point. However, when a line is produced to meet another line at a point O, it does not mean that the two lines intersect at that point. The point O is simply the point where the produced line meets the other line. Therefore, point O is not an intersecting point.
Both lines may be parallel:
When a line is produced to meet another line at a point O, it does not necessarily mean that the two lines are not parallel. The produced line could be a parallel line to the other line, but it has been extended beyond its original length to meet the other line at point O. Therefore, both lines may be parallel.
Conclusion:
From the above explanations, we can conclude that option 'A' is correct. When a line is produced to meet another line at a point O, the point O and produced line lie on the same plane.
When a line is produced to meet another line at a point O, the following can be observed:
Point O and produced line lie on the same plane:
When a line is produced, it means that it is extended beyond its original length. So, if a line is produced to meet another line at a point O, it means that the two lines are in the same plane. This is because the extension of the line in one direction does not change the orientation of the plane in which the line lies. Therefore, the point O and produced line lie on the same plane.
Point O is not an intersecting point:
When two lines intersect, they meet at a point. However, when a line is produced to meet another line at a point O, it does not mean that the two lines intersect at that point. The point O is simply the point where the produced line meets the other line. Therefore, point O is not an intersecting point.
Both lines may be parallel:
When a line is produced to meet another line at a point O, it does not necessarily mean that the two lines are not parallel. The produced line could be a parallel line to the other line, but it has been extended beyond its original length to meet the other line at point O. Therefore, both lines may be parallel.
Conclusion:
From the above explanations, we can conclude that option 'A' is correct. When a line is produced to meet another line at a point O, the point O and produced line lie on the same plane.
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A line is produced to meet another line at a point O. Which one of the following is correct about the point O.a)Point O and produced line lie on the same planeb)Points O is not an intersecting pointc)Both lines may be paralleld)All the abovee)None of theseCorrect answer is option 'A'. Can you explain this answer?
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