answersLogoWhite

0

The answer is 1.

Here is the theorem:
There is a unique circle passing through points P1 , P2 , P3 if and only if these three points are non-collinear.

The proof is not too hard, but involves some linear algebra. I will post a link to it.

User Avatar

Wiki User

15y ago

What else can I help you with?

Related Questions

How many planes can be drawn through any three noncollinear points in a plane?

just one


How many lines can be drawn through three noncollinear points?

If you are talking about straight lines, the answer is NONE, because that is what noncollinear means. If curves are allowed, then the answer is infinitely many.


Are three noncollinear points always contained in only one plane?

Yes a plane can always be drawn three any three points, whether they are linear or not.


How many planes can be drawn through any three noncollinear points?

Only one plane can pass through 3 non-collinear points.


What does three noncollinear points determine?

A plane


The number of noncollinear points needed to determine a circle?

Three.


How many noncollinear points are needed to define a plane?

Three.


What is a triangle defined as?

The shape identified by three noncollinear points.


Can three points be noncoplanar?

No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.


The number of noncollinear points needed to determine a unique plane?

Three


Can one plane sometimes pass through three noncollinear points?

no


Points a b and c are noncollinear . how many lines are determined by a b and c?

Three noncollinear points ( A ), ( B ), and ( C ) determine exactly three lines: line ( AB ), line ( BC ), and line ( AC ). Each pair of points defines a unique line, and since the points are noncollinear, no two lines coincide. Thus, the total number of lines determined by points ( A ), ( B ), and ( C ) is three.