one
an infinite number; no limit
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.)
In Geometry
From a given line at a specific point, there can be exactly one circle tangent to the line at that point. This circle will have its center located on the perpendicular line drawn from the point to the line. The radius of the circle will be the distance from the center to the point of tangency.
A cone has an infinite number of lines that can be drawn perpendicular to its surface. Specifically, any line drawn from the apex of the cone to a point on the circular base can be considered perpendicular to the radius at that point. Additionally, if you consider the vertical axis of the cone, any horizontal plane intersecting the cone's surface can also have multiple perpendicular lines.
Only one
only 1
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
exactly 1
Yes. There can be a line perpendicular to the given line at every point on it, and you know how many different points there are on it ...
1
1
7Type your answer here...
1
In a Euclidean plane, only one.
an infinite number; no limit
There is only one such plane.