What is the number of planes passing through three non - collinear points ?

Options

A. 3
B. 2
C. 1
D. 0

Answer

To find the number of planes passing through three non-collinear points, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Non-Collinear Points**:
- Non-collinear points are points that do not lie on the same straight line. For three points to be non-collinear, they must form a triangle.

2. **Definition of a Plane**:
- A plane in three-dimensional space is defined by three points. However, these points must not be collinear; otherwise, they would only define a line.

3. **Applying the Definition**:
- Since the three points given in the question are non-collinear, they can uniquely determine a plane.

4. **Conclusion**:
- Therefore, there is exactly one plane that can be formed by three non-collinear points.

5. **Final Answer**:
- The number of planes passing through three non-collinear points is **1**.