If 2 points determine a line, then a line contains infinitely many planes.
There's no limit to the number of them. A more cool and sexy way to say the same thing might be: "An infinite number."
Anything that contains the line must contain every point on the line, so "a point on the line" doesn't give us any more information. You're just asking how many planes can contain the line. Now imagine setting a wood panel down on a tight-rope. How many different ways can it set there before it falls off ? A lot, right ? An infinite number of planes can all contain your line. (And all of its points.)
an infinite number; no limit
No, they intersect at a line.
1
1
If 2 points determine a line, then a line contains infinitely many planes.
only 1
There's no limit to the number of them. A more cool and sexy way to say the same thing might be: "An infinite number."
exactly 1
Yes, and in fact it is very likely that two planes will contain exactly one identical line. There are three possibilities:The planes are parallel, but not identical, in which case they contain no identical lines.The planes are not parallel, in which case they contain exactly one identical line.The planes are identical, and contain an infinite number of coplanar lines.
Two planes intersect at a line. The line where they intersect pertains to both planes. In the same manner, if infinitely many planes intersect each other at the same line, then that line pertains to the infinitely many planes.
An infinite number of planes. Picture a line and now picture planes going in every direction through the line,
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
Only one
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