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Which one of the following statements is not correct about intersecting lines?
- a)The distance between the two lines is not the same everywhere.
- b)They may intersect if extended long.
- c)They intersect at only one point.
- d)They are represented as (||)
Correct answer is option 'D'. Can you explain this answer?
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Which one of the following statements is not correct about intersecti...
Intersecting lines refer to lines that cross each other at a certain point. One of the given statements is not correct about intersecting lines, and that is option 'D' which states that intersecting lines are represented as (||).
Explanation:
Intersecting lines can be better understood by considering the following points:
1. Intersecting lines have a unique point of intersection:
- When two lines intersect, they meet at a specific point. This point is called the point of intersection. It is the only point where the two lines cross each other.
2. The distance between the lines is not the same everywhere:
- The distance between two intersecting lines is not equal at all points. The distance between the lines varies depending on the location. For instance, closer to the point of intersection, the distance between the lines is smaller, while it increases as you move away from the point of intersection.
3. The lines may intersect if extended long enough:
- If one or both of the intersecting lines are extended infinitely in both directions, they will eventually intersect at a point beyond the visible portion. This means that intersecting lines can be extended indefinitely, and they will still intersect at the same point.
4. The incorrect statement: Intersecting lines are represented as (||):
- The incorrect statement is option 'D', which states that intersecting lines are represented as (||). This is not accurate. In mathematical notation, intersecting lines are typically represented by a symbol called an intersection sign (∩) or by labeling the intersecting points with letters or numbers. The symbol (||) represents parallel lines, which are lines that never intersect and run side by side in the same direction.
In conclusion, intersecting lines do not have the same distance between them everywhere, they can intersect if extended, and they intersect at a single point. The incorrect statement is that intersecting lines are represented as (||).
Explanation:
Intersecting lines can be better understood by considering the following points:
1. Intersecting lines have a unique point of intersection:
- When two lines intersect, they meet at a specific point. This point is called the point of intersection. It is the only point where the two lines cross each other.
2. The distance between the lines is not the same everywhere:
- The distance between two intersecting lines is not equal at all points. The distance between the lines varies depending on the location. For instance, closer to the point of intersection, the distance between the lines is smaller, while it increases as you move away from the point of intersection.
3. The lines may intersect if extended long enough:
- If one or both of the intersecting lines are extended infinitely in both directions, they will eventually intersect at a point beyond the visible portion. This means that intersecting lines can be extended indefinitely, and they will still intersect at the same point.
4. The incorrect statement: Intersecting lines are represented as (||):
- The incorrect statement is option 'D', which states that intersecting lines are represented as (||). This is not accurate. In mathematical notation, intersecting lines are typically represented by a symbol called an intersection sign (∩) or by labeling the intersecting points with letters or numbers. The symbol (||) represents parallel lines, which are lines that never intersect and run side by side in the same direction.
In conclusion, intersecting lines do not have the same distance between them everywhere, they can intersect if extended, and they intersect at a single point. The incorrect statement is that intersecting lines are represented as (||).
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Community Answer
Which one of the following statements is not correct about intersecti...
The intersecting lines are represented as (×)
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Which one of the following statements is not correct about intersecting lines?a)The distance between the two lines is not the same everywhere.b)They may intersect if extended long.c)They intersect at only one point.d)They are represented as (||)Correct answer is option 'D'. Can you explain this answer?
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