one
In N-dimensional space, an infinite number of planes can be perpendicular to a given line at a specific point on that line. Each plane can be defined by selecting a direction that is orthogonal to the direction of the line, and since there are infinitely many such directions in the (N-1) dimensional space orthogonal to the line, it results in infinitely many perpendicular planes.
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.
Only one
In N-dimensional space, an infinite number of planes can be perpendicular to a given line at a specific point on that line. Each plane can be defined by selecting a direction that is orthogonal to the direction of the line, and since there are infinitely many such directions in the (N-1) dimensional space orthogonal to the line, it results in infinitely many perpendicular planes.
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