Question

what is the conditions for intersection line​

Answer 1

Answer:

for linear equation of two variable and one constant

a1x+b1y+c1 = 0

a2x+b2y+c2 = 0

condition for that the line intersect each other is

1.a1/a2 not equal to b1/ b2

if these intersect at one point having unique solution

2. a1/a2 = b1/b2 = c1/c2

if these intereect at infinite point or when lines are coinicident .

note :- if in question specify that lines have unique solution then apply condition one only.

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Answer 2

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.