write the conditions for....
1) intersecting lines
2) coincident lines
3) parallel lines
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Answered by
6
Answer:
- A necessary condition for two lines to intersect is that they are in the same plane—that is, are not skew lines. Satisfaction of this condition is equivalent to the tetrahedron with vertices at two of the points on one line and two of the points on the other line being degenerate in the sense of having zero volume.
- If one line is a multiple of the other, the lines are coincident and have all points in common. ... If each line in the system has the same slope but a different y-intercept, the lines are parallel and there is no solution. If each line in the system has the same slope and the same y-intercept, the lines are coincident.
- Two lines in a plane are said to be parallel if they do not intersect, when extended infinitely in both the direction. Also, the distance between the two lines is the same throughout. The symbol for denoting parallel lines is ∥.
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Step-by-step explanation:
the lines which is intersect to each other is called intersecting lines.
the lines which is not interest at any point is called parallel lines
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