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How many planes can pass through a line and point?
Given a line and a distinct point not lying on the line, only a single plane can be drawn through both of them as there can be only plane which can accommodate both the line and the point together. Let us take a line l and a point A, as we can see there can be only plane which pass through both of them.
Can a point be on multiple planes?
The intersection of two planes is a line. They cannot intersect at only one point because planes are infinite.
How many planes will pass through two points?
Answer: Given two distinct points, we can draw many planes passing through them. Therefore, infinite number of planes can be drawn passing through two distinct points or two points can be common to infinite number of planes.
How many planes can accommodate a line?
There can be only one plane that include one line and point outside the line. Step-by-step explanation: For a given line there can be infinite planes containing line and if point lies on line then still there can be infinite planes.
Can any three points be a plane?
In a three-dimensional space, a plane can be defined by three points it contains, as long as those points are not on the same line.
How many planes can contain 3 points?
We know that only one plane can pass through three non-collinear points. And if a line intersects a plane that doesn’t contain the line, then the intersection is exactly one point.
How many planes can contain 3 given point?
If 2 planes intersect, their intersection is a line, and there are infinitely planes containing that line. So if 3 points are co-linear, there are infinitely many planes through the line that contains the 3 points. Let the three points be denoted P,Q,R.
Can any three points accommodate in a plane?
Three non-collinear points determine a plane. This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is.
Is it possible that 3 points can be coplanar?
In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all. For example, three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique.
Can a plane have 4 points?
Four points (like the corners of a tetrahedron or a triangular pyramid) will not all be on any plane, though triples of them will form four different planes.
Can 2 planes contain the same 3 points?
If 2 planes intersect, their intersection is a line, and there are infinitely planes containing that line. So if 3 points are co-linear, there are infinitely many planes through the line that contains the 3 points.