Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
When the line is inclined to the plane. That is, it is not in the plane nor is it parallel to it.
always. if two lines intersect, then exactly one plane contains the lines.
yes
yes
No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.
No, 2 planes may only intersect at a line, a plane, or not at all. THREE planes may intersect at a point though...
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
Three planes may all intersect each other at exactly one point. This commonly occurs when there is one straight plane and two other planes intersect it at acute or obtuse angles.
To intersect.
Two circles in the same plane are externally tangent if they intersect in exactly one point and their intersection of their interiors is empty.
Yes, except when the line is in the plane. In the latter case, they intersect at each point on the line (an infinite number).
When the line is inclined to the plane. That is, it is not in the plane nor is it parallel to it.
always. if two lines intersect, then exactly one plane contains the lines.
yes
yes
Tangent